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133169328 = 24321948673
BaseRepresentation
bin1111111000000…
…00000010110000
3100021120200222100
413330000002300
5233042404303
621114140400
73204630525
oct774000260
9307520870
10133169328
11691970a6
1238721700
1321788226
141398714c
15ba578a3
hex7f000b0

133169328 has 60 divisors (see below), whose sum is σ = 392312440. Its totient is φ = 42052608.

The previous prime is 133169321. The next prime is 133169341. The reversal of 133169328 is 823961331.

133169328 is a `hidden beast` number, since 13 + 316 + 9 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133169292 and 133169301.

It is not an unprimeable number, because it can be changed into a prime (133169321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21601 + ... + 27072.

Almost surely, 2133169328 is an apocalyptic number.

133169328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133169328 is an abundant number, since it is smaller than the sum of its proper divisors (259143112).

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

133169328 is a wasteful number, since it uses less digits than its factorization.

133169328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48706 (or 48697 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133169328 is about 11539.9015593722. The cubic root of 133169328 is about 510.6634042638.

The spelling of 133169328 in words is "one hundred thirty-three million, one hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 48673 97346 146019 194692 292038 389384 438057 584076 778768 876114 924787 1168152 1752228 1849574 2336304 2774361 3504456 3699148 5548722 7008912 7398296 8323083 11097444 14796592 16646166 22194888 33292332 44389776 66584664 133169328