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140741040 = 24351189599
BaseRepresentation
bin10000110001110…
…00100110110000
3100210211101102010
420120320212300
5242012203130
621544322520
73326164506
oct1030704660
9323741363
10140741040
1172498910
123b173440
132320972b
1414998676
15c5510b0
hex86389b0

140741040 has 160 divisors (see below), whose sum is σ = 482112000. Its totient is φ = 33679360.

The previous prime is 140741039. The next prime is 140741047. The reversal of 140741040 is 40147041.

It is a junction number, because it is equal to n+sod(n) for n = 140740998 and 140741016.

It is not an unprimeable number, because it can be changed into a prime (140741047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234661 + ... + 235259.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2140741040 is an apocalyptic number.

140741040 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 140741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

140741040 is an abundant number, since it is smaller than the sum of its proper divisors (341370960).

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

140741040 is a wasteful number, since it uses less digits than its factorization.

140741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 140741040 is about 11863.4328927170. The cubic root of 140741040 is about 520.1639522464.

Adding to 140741040 its reverse (40147041), we get a palindrome (180888081).

The spelling of 140741040 in words is "one hundred forty million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 89 110 120 132 165 176 178 220 240 264 267 330 356 440 445 528 534 599 660 712 880 890 979 1068 1198 1320 1335 1424 1780 1797 1958 2136 2396 2640 2670 2937 2995 3560 3594 3916 4272 4792 4895 5340 5874 5990 6589 7120 7188 7832 8985 9584 9790 10680 11748 11980 13178 14376 14685 15664 17970 19580 19767 21360 23496 23960 26356 28752 29370 32945 35940 39160 39534 46992 47920 52712 53311 58740 65890 71880 78320 79068 98835 105424 106622 117480 131780 143760 158136 159933 197670 213244 234960 263560 266555 316272 319866 395340 426488 527120 533110 586421 639732 790680 799665 852976 1066220 1172842 1279464 1581360 1599330 1759263 2132440 2345684 2558928 2932105 3198660 3518526 4264880 4691368 5864210 6397320 7037052 8796315 9382736 11728420 12794640 14074104 17592630 23456840 28148208 35185260 46913680 70370520 140741040