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132569216 = 271379669
BaseRepresentation
bin1111110011011…
…01100010000000
3100020110012202222
413321231202000
5232414203331
621053230212
73166551113
oct771554200
9306405688
10132569216
116891723a
1238492368
1321608030
141386c57a
15b989b7b
hex7e6d880

132569216 has 32 divisors (see below), whose sum is σ = 284421900. Its totient is φ = 61185024.

The previous prime is 132569197. The next prime is 132569231. The reversal of 132569216 is 612965231.

It can be written as a sum of positive squares in 2 ways, for example, as 128142400 + 4426816 = 11320^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 38171 + ... + 41498.

Almost surely, 2132569216 is an apocalyptic number.

132569216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132569216 is an abundant number, since it is smaller than the sum of its proper divisors (151852684).

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

132569216 is an equidigital number, since it uses as much as digits as its factorization.

132569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79696 (or 79684 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 132569216 is about 11513.8705915952. The cubic root of 132569216 is about 509.8951674826.

The spelling of 132569216 in words is "one hundred thirty-two million, five hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 79669 159338 318676 637352 1035697 1274704 2071394 2549408 4142788 5098816 8285576 10197632 16571152 33142304 66284608 132569216