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145915056 = 24327144757
BaseRepresentation
bin10001011001001…
…11110010110000
3101011120020211100
420230213302300
5244323240211
622251244400
73421154220
oct1054476260
9334506740
10145915056
1175402161
1240a49700
13242cb791
1415544080
15cc24156
hex8b27cb0

145915056 has 60 divisors (see below), whose sum is σ = 466699792. Its totient is φ = 41689728.

The previous prime is 145915051. The next prime is 145915069. The reversal of 145915056 is 650519541.

145915056 is a `hidden beast` number, since 1 + 459 + 150 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145915056.

It is not an unprimeable number, because it can be changed into a prime (145915051) 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 11 ways as a sum of consecutive naturals, for example, 71371 + ... + 73386.

Almost surely, 2145915056 is an apocalyptic number.

145915056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145915056 is an abundant number, since it is smaller than the sum of its proper divisors (320784736).

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

145915056 is a wasteful number, since it uses less digits than its factorization.

145915056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144778 (or 144769 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145915056 is about 12079.5304544506. The cubic root of 145915056 is about 526.4616033015.

The spelling of 145915056 in words is "one hundred forty-five million, nine hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 144757 289514 434271 579028 868542 1013299 1158056 1302813 1737084 2026598 2316112 2605626 3039897 3474168 4053196 5211252 6079794 6948336 8106392 9119691 10422504 12159588 16212784 18239382 20845008 24319176 36478764 48638352 72957528 145915056