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157066112 = 277307571
BaseRepresentation
bin10010101110010…
…10001110000000
3101221112210012102
421113022032000
5310202103422
623330245532
73615016460
oct1127121600
9357483172
10157066112
1180729105
12447268a8
1326704238
1416c07ba0
15dbc8192
hex95ca380

157066112 has 64 divisors (see below), whose sum is σ = 359399040. Its totient is φ = 66977280.

The previous prime is 157066109. The next prime is 157066171. The reversal of 157066112 is 211660751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 274787 + ... + 275357.

It is an arithmetic number, because the mean of its divisors is an integer number (5615610).

Almost surely, 2157066112 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 157066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179699520).

157066112 is an abundant number, since it is smaller than the sum of its proper divisors (202332928).

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

157066112 is an equidigital number, since it uses as much as digits as its factorization.

157066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 157066112 is about 12532.6019644765. The cubic root of 157066112 is about 539.5447832582.

The spelling of 157066112 in words is "one hundred fifty-seven million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 307 448 571 614 896 1142 1228 2149 2284 2456 3997 4298 4568 4912 7994 8596 9136 9824 15988 17192 18272 19648 31976 34384 36544 39296 63952 68768 73088 127904 137536 175297 255808 275072 350594 511616 701188 1227079 1402376 2454158 2804752 4908316 5609504 9816632 11219008 19633264 22438016 39266528 78533056 157066112