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157640704 = 2111331191
BaseRepresentation
bin10010110010101…
…10100000000000
3101222121222101121
421121112200000
5310324000304
623350442024
73622631614
oct1131264000
9358558347
10157640704
1180a90881
1244963314
1326875930
1416d17344
15dc8d554
hex9656800

157640704 has 96 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 70041600.

The previous prime is 157640687. The next prime is 157640713. The reversal of 157640704 is 407046751.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 157640704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825249 + ... + 825439.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2157640704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

157640704 is an abundant number, since it is smaller than the sum of its proper divisors (194594816).

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

157640704 is a wasteful number, since it uses less digits than its factorization.

157640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 157640704 is about 12555.5049281182. The cubic root of 157640704 is about 540.2019180874.

The spelling of 157640704 in words is "one hundred fifty-seven million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 191 208 248 256 382 403 416 496 512 764 806 832 992 1024 1528 1612 1664 1984 2048 2483 3056 3224 3328 3968 4966 5921 6112 6448 6656 7936 9932 11842 12224 12896 13312 15872 19864 23684 24448 25792 26624 31744 39728 47368 48896 51584 63488 76973 79456 94736 97792 103168 153946 158912 189472 195584 206336 307892 317824 378944 391168 412672 615784 635648 757888 825344 1231568 1271296 1515776 2463136 2542592 3031552 4926272 5085184 6063104 9852544 12126208 19705088 39410176 78820352 157640704