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157128384 = 2637116911
BaseRepresentation
bin10010101110110…
…01011011000000
3101221122221121210
421113121123000
5310211102014
623331450120
73615366150
oct1127313300
9357587553
10157128384
1180770976
1244756940
132672669a
1416c22760
15dbdb859
hex95d96c0

157128384 has 56 divisors (see below), whose sum is σ = 475130368. Its totient is φ = 44893440.

The previous prime is 157128383. The next prime is 157128401. The reversal of 157128384 is 483821751.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (157128383) 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 7 ways as a sum of consecutive naturals, for example, 57112 + ... + 59799.

Almost surely, 2157128384 is an apocalyptic number.

157128384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157128384 is an abundant number, since it is smaller than the sum of its proper divisors (318001984).

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

157128384 is a wasteful number, since it uses less digits than its factorization.

157128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116933 (or 116923 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 157128384 is about 12535.0861185713. The cubic root of 157128384 is about 539.6160782753.

The spelling of 157128384 in words is "one hundred fifty-seven million, one hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 116911 233822 350733 467644 701466 818377 935288 1402932 1636754 1870576 2455131 2805864 3273508 3741152 4910262 5611728 6547016 7482304 9820524 11223456 13094032 19641048 22446912 26188064 39282096 52376128 78564192 157128384