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1136316540 = 223561734253
BaseRepresentation
bin100001110111010…
…1101000001111100
32221012011212020210
41003232231001330
54311344112130
6304431112420
740105350132
oct10356550174
92835155223
101136316540
1153346a487
12278672710
13151557a68
14aacb3752
1569b5b5b0
hex43bad07c

1136316540 has 96 divisors (see below), whose sum is σ = 3278915136. Its totient is φ = 293898240.

The previous prime is 1136316529. The next prime is 1136316553. The reversal of 1136316540 is 456136311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1136316498 and 1136316507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265054 + ... + 269306.

It is an arithmetic number, because the mean of its divisors is an integer number (34155366).

Almost surely, 21136316540 is an apocalyptic number.

1136316540 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 1136316540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639457568).

1136316540 is an abundant number, since it is smaller than the sum of its proper divisors (2142598596).

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

1136316540 is a wasteful number, since it uses less digits than its factorization.

1136316540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1136316540 is about 33709.2945639626. The cubic root of 1136316540 is about 1043.5175946873.

The spelling of 1136316540 in words is "one billion, one hundred thirty-six million, three hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 73 122 146 183 219 244 292 305 365 366 438 610 730 732 876 915 1095 1220 1460 1830 2190 3660 4253 4380 4453 8506 8906 12759 13359 17012 17812 21265 22265 25518 26718 42530 44530 51036 53436 63795 66795 85060 89060 127590 133590 255180 259433 267180 310469 518866 620938 778299 931407 1037732 1241876 1297165 1552345 1556598 1862814 2594330 3104690 3113196 3725628 3891495 4657035 5188660 6209380 7782990 9314070 15565980 18628140 18938609 37877218 56815827 75754436 94693045 113631654 189386090 227263308 284079135 378772180 568158270 1136316540