Search a number
-
+
157159728 = 243211472111
BaseRepresentation
bin10010101111000…
…01000100110000
3101221201112121200
421113201010300
5310213102403
623332251200
73615556425
oct1127410460
9357645550
10157159728
1180792480
1244770b00
1326737a2b
1416c2dd4c
15dbe5ca3
hex95e1130

157159728 has 120 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 46588800.

The previous prime is 157159727. The next prime is 157159733. The reversal of 157159728 is 827951751.

157159728 is a `hidden beast` number, since 1 + 57 + 1 + 597 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (157159727) 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 23 ways as a sum of consecutive naturals, for example, 73393 + ... + 75503.

Almost surely, 2157159728 is an apocalyptic number.

157159728 is a gapful number since it is divisible by the number (18) 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 157159728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

157159728 is an abundant number, since it is smaller than the sum of its proper divisors (333094608).

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

157159728 is a wasteful number, since it uses less digits than its factorization.

157159728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2174 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 157159728 is about 12536.3363069120. The cubic root of 157159728 is about 539.6519567958.

The spelling of 157159728 in words is "one hundred fifty-seven million, one hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 2068 2111 2256 3102 3384 4136 4222 4653 6204 6333 6768 8272 8444 9306 12408 12666 16888 18612 18999 23221 24816 25332 33776 37224 37998 46442 50664 69663 74448 75996 92884 99217 101328 139326 151992 185768 198434 208989 278652 297651 303984 371536 396868 417978 557304 595302 793736 835956 892953 1091387 1114608 1190604 1587472 1671912 1785906 2182774 2381208 3274161 3343824 3571812 4365548 4762416 6548322 7143624 8731096 9822483 13096644 14287248 17462192 19644966 26193288 39289932 52386576 78579864 157159728