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133285632 = 283173549
BaseRepresentation
bin1111111000111…
…00011100000000
3100021210121111220
413330130130000
5233110120012
621120435040
73205623564
oct774343400
9307717456
10133285632
1169266517
1238778a80
13217c914c
14139b76a4
15ba7c08c
hex7f1c700

133285632 has 36 divisors (see below), whose sum is σ = 354736200. Its totient is φ = 44428288.

The previous prime is 133285613. The next prime is 133285637. The reversal of 133285632 is 236582331.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133285593 and 133285602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133285637) 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 3 ways as a sum of consecutive naturals, for example, 86007 + ... + 87542.

Almost surely, 2133285632 is an apocalyptic number.

133285632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133285632 is an abundant number, since it is smaller than the sum of its proper divisors (221450568).

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

133285632 is an equidigital number, since it uses as much as digits as its factorization.

133285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173568 (or 173554 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 133285632 is about 11544.9396706956. The cubic root of 133285632 is about 510.8120243595.

The spelling of 133285632 in words is "one hundred thirty-three million, two hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 173549 347098 520647 694196 1041294 1388392 2082588 2776784 4165176 5553568 8330352 11107136 16660704 22214272 33321408 44428544 66642816 133285632