Search a number
-
+
157326480 = 24325218509
BaseRepresentation
bin10010110000010…
…01110010010000
3101222001000100200
421120021302100
5310233421410
623340015200
73620152533
oct1130116220
9358030320
10157326480
1180896793
1244831500
13267958bc
1416c74a1a
15dc2a3c0
hex9609c90

157326480 has 60 divisors (see below), whose sum is σ = 528357180. Its totient is φ = 41953536.

The previous prime is 157326473. The next prime is 157326511. The reversal of 157326480 is 84623751.

157326480 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 2 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 124010496 = 5772^2 + 11136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108535 + ... + 109974.

It is an arithmetic number, because the mean of its divisors is an integer number (8805953).

Almost surely, 2157326480 is an apocalyptic number.

157326480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157326480 is an abundant number, since it is smaller than the sum of its proper divisors (371030700).

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

157326480 is a wasteful number, since it uses less digits than its factorization.

157326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218528 (or 218519 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 157326480 is about 12542.9852905917. The cubic root of 157326480 is about 539.8427525681.

The spelling of 157326480 in words is "one hundred fifty-seven million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 218509 437018 655527 874036 1092545 1311054 1748072 1966581 2185090 2622108 3277635 3496144 3933162 4370180 5244216 6555270 7866324 8740360 9832905 10488432 13110540 15732648 17480720 19665810 26221080 31465296 39331620 52442160 78663240 157326480