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157065324 = 223131922789
BaseRepresentation
bin10010101110010…
…10000001101100
3101221112202010020
421113022001230
5310202042244
623330242140
73615014253
oct1127120154
9357482106
10157065324
1180728559
1244726350
1326703a80
1416c0779a
15dbc7d19
hex95ca06c

157065324 has 72 divisors (see below), whose sum is σ = 416692080. Its totient is φ = 45767808.

The previous prime is 157065323. The next prime is 157065379. The reversal of 157065324 is 423560751.

157065324 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

157065324 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (157065323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54922 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (5787390).

Almost surely, 2157065324 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 157065324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208346040).

157065324 is an abundant number, since it is smaller than the sum of its proper divisors (259626756).

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

157065324 is a wasteful number, since it uses less digits than its factorization.

157065324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 157065324 is about 12532.5705264323. The cubic root of 157065324 is about 539.5438809587.

The spelling of 157065324 in words is "one hundred fifty-seven million, sixty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2789 2964 4332 4693 5578 8367 9386 11156 14079 16734 18772 28158 33468 36257 52991 56316 72514 105982 108771 145028 158973 211964 217542 317946 435084 635892 688883 1006829 1377766 2013658 2066649 2755532 3020487 4027316 4133298 6040974 8266596 12081948 13088777 26177554 39266331 52355108 78532662 157065324