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157612104 = 233213212953
BaseRepresentation
bin10010110010011…
…11100001001000
3101222120112011100
421121033201020
5310322041404
623350101400
73622452336
oct1131174110
9358515140
10157612104
1180a71341
124494a860
1326865900
1416d0ab56
15dc84d39
hex964f848

157612104 has 72 divisors (see below), whose sum is σ = 462263490. Its totient is φ = 48492288.

The previous prime is 157612097. The next prime is 157612121. The reversal of 157612104 is 401216751.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43164900 + 114447204 = 6570^2 + 10698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5692 + ... + 18644.

Almost surely, 2157612104 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 157612104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231131745).

157612104 is an abundant number, since it is smaller than the sum of its proper divisors (304651386).

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

157612104 is a wasteful number, since it uses less digits than its factorization.

157612104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12991 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157612104 is about 12554.3659338096. The cubic root of 157612104 is about 540.1692473603.

Adding to 157612104 its reverse (401216751), we get a palindrome (558828855).

The spelling of 157612104 in words is "one hundred fifty-seven million, six hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 12953 25906 38859 51812 77718 103624 116577 155436 168389 233154 310872 336778 466308 505167 673556 932616 1010334 1347112 1515501 2020668 2189057 3031002 4041336 4378114 6062004 6567171 8756228 12124008 13134342 17512456 19701513 26268684 39403026 52537368 78806052 157612104