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157533080 = 23543671367
BaseRepresentation
bin10010110001111…
…00001110011000
3101222102111202112
421120330032120
5310312024310
623344251452
73622003055
oct1130741630
9358374675
10157533080
1180a17a31
1244910b88
1326838953
1416cca02c
15dc6b705
hex963c398

157533080 has 64 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 60584832.

The previous prime is 157533073. The next prime is 157533083. The reversal of 157533080 is 80335751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157533083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114557 + ... + 115923.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2157533080 is an apocalyptic number.

157533080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157533080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

157533080 is an abundant number, since it is smaller than the sum of its proper divisors (210841960).

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

157533080 is a wasteful number, since it uses less digits than its factorization.

157533080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 157533080 is about 12551.2182675627. The cubic root of 157533080 is about 540.0789550761.

The spelling of 157533080 in words is "one hundred fifty-seven million, five hundred thirty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 215 268 335 344 430 536 670 860 1340 1367 1720 2680 2734 2881 5468 5762 6835 10936 11524 13670 14405 23048 27340 28810 54680 57620 58781 91589 115240 117562 183178 235124 293905 366356 457945 470248 587810 732712 915890 1175620 1831780 2351240 3663560 3938327 7876654 15753308 19691635 31506616 39383270 78766540 157533080