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147270564 = 223272325409
BaseRepresentation
bin10001100011100…
…10101110100100
3101021010010020100
420301302232210
5300200124224
622340304100
73435531150
oct1061625644
9337103210
10147270564
1176148611
12413a2030
132468475c
14157b8060
15cde0ac9
hex8c72ba4

147270564 has 72 divisors (see below), whose sum is σ = 443963520. Its totient is φ = 40246272.

The previous prime is 147270551. The next prime is 147270581. The reversal of 147270564 is 465072741.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6909 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2147270564 is an apocalyptic number.

147270564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

147270564 is an abundant number, since it is smaller than the sum of its proper divisors (296692956).

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

147270564 is a wasteful number, since it uses less digits than its factorization.

147270564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25449 (or 25444 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 147270564 is about 12135.5083947892. The cubic root of 147270564 is about 528.0868056316.

The spelling of 147270564 in words is "one hundred forty-seven million, two hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 25409 50818 76227 101636 152454 177863 228681 304908 355726 457362 533589 584407 711452 914724 1067178 1168814 1600767 1753221 2134356 2337628 3201534 3506442 4090849 5259663 6403068 7012884 8181698 10519326 12272547 16363396 21038652 24545094 36817641 49090188 73635282 147270564