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1135941840 = 243351147809
BaseRepresentation
bin100001110110101…
…0001100011010000
32221011110211021000
41003231101203100
54311300114330
6304415102000
740102226535
oct10355214320
92834424230
101135941840
11533233a10
12278511900
13151456347
14aac16d8c
1569ad5560
hex43b518d0

1135941840 has 160 divisors (see below), whose sum is σ = 4268476800. Its totient is φ = 275374080.

The previous prime is 1135941827. The next prime is 1135941841. The reversal of 1135941840 is 481495311.

1135941840 is a `hidden beast` number, since 1 + 13 + 594 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1135941795 and 1135941804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135941841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145 + ... + 47664.

It is an arithmetic number, because the mean of its divisors is an integer number (26677980).

Almost surely, 21135941840 is an apocalyptic number.

1135941840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134238400).

1135941840 is an abundant number, since it is smaller than the sum of its proper divisors (3132534960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1135941840 is a wasteful number, since it uses less digits than its factorization.

1135941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47842 (or 47830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1135941840 is about 33703.7362913965. The cubic root of 1135941840 is about 1043.4028822180.

The spelling of 1135941840 in words is "one billion, one hundred thirty-five million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 47809 95618 143427 191236 239045 286854 382472 430281 478090 525899 573708 717135 764944 860562 956180 1051798 1147416 1290843 1434270 1577697 1721124 1912360 2103596 2151405 2294832 2581686 2629495 2868540 3155394 3442248 3824720 4207192 4302810 4733091 5163372 5258990 5737080 6310788 6454215 6884496 7888485 8414384 8605620 9466182 10326744 10517980 11474160 12621576 12908430 14199273 15776970 17211240 18932364 20653488 21035960 23665455 25243152 25816860 28398546 31553940 34422480 37864728 42071920 47330910 51633720 56797092 63107880 70996365 75729456 94661820 103267440 113594184 126215760 141992730 189323640 227188368 283985460 378647280 567970920 1135941840