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157739106 = 23723283577
BaseRepresentation
bin10010110011011…
…10100001100010
3101222210222101010
421121232201202
5310340122411
623352521350
73623521530
oct1131564142
9358728333
10157739106
11810487a8
12449b0256
13268ab665
1416d41150
15dcac7a6
hex966e862

157739106 has 64 divisors (see below), whose sum is σ = 378206208. Its totient is φ = 42882048.

The previous prime is 157739081. The next prime is 157739117. The reversal of 157739106 is 601937751.

It is a Curzon number.

It is an unprimeable number.

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, 273090 + ... + 273666.

It is an arithmetic number, because the mean of its divisors is an integer number (5909472).

Almost surely, 2157739106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157739106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189103104).

157739106 is an abundant number, since it is smaller than the sum of its proper divisors (220467102).

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

157739106 is a wasteful number, since it uses less digits than its factorization.

157739106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 157739106 is about 12559.4229963004. The cubic root of 157739106 is about 540.3142957732.

The spelling of 157739106 in words is "one hundred fifty-seven million, seven hundred thirty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 283 322 483 566 577 849 966 1154 1698 1731 1981 3462 3962 4039 5943 6509 8078 11886 12117 13018 13271 19527 24234 26542 39054 39813 45563 79626 91126 92897 136689 163291 185794 273378 278691 326582 489873 557382 979746 1143037 2286074 3429111 3755693 6858222 7511386 11267079 22534158 26289851 52579702 78869553 157739106