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157141836 = 223329131383
BaseRepresentation
bin10010101110111…
…00101101001100
3101221200122002000
421113130231030
5310212014321
623332032300
73615453315
oct1127345514
9357618060
10157141836
118077aa95
1244762690
132672c847
1416c2760c
15dbe0826
hex95dcb4c

157141836 has 96 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 50057280.

The previous prime is 157141801. The next prime is 157141841. The reversal of 157141836 is 638141751.

157141836 is a `hidden beast` number, since 1 + 571 + 4 + 1 + 83 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157141836.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410101 + ... + 410483.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2157141836 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 157141836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

157141836 is an abundant number, since it is smaller than the sum of its proper divisors (268637364).

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

157141836 is a wasteful number, since it uses less digits than its factorization.

157141836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 157141836 is about 12535.6226809840. The cubic root of 157141836 is about 539.6314769537.

The spelling of 157141836 in words is "one hundred fifty-seven million, one hundred forty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 131 174 261 262 348 383 393 522 524 766 783 786 1044 1149 1179 1532 1566 1572 2298 2358 3132 3447 3537 3799 4596 4716 6894 7074 7598 10341 11107 11397 13788 14148 15196 20682 22214 22794 33321 34191 41364 44428 45588 50173 66642 68382 99963 100346 102573 133284 136764 150519 199926 200692 205146 299889 301038 399852 410292 451557 599778 602076 903114 1199556 1354671 1455017 1806228 2709342 2910034 4365051 5418684 5820068 8730102 13095153 17460204 26190306 39285459 52380612 78570918 157141836