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164506632 = 23359116177
BaseRepresentation
bin10011100111000…
…10110000001000
3102110112210200020
421303202300020
5314103203012
624153540440
74035166113
oct1163426010
9373483606
10164506632
11849502a4
1247114720
132810ab04
1417bc357a
15e697a8c
hex9ce2c08

164506632 has 32 divisors (see below), whose sum is σ = 418240800. Its totient is φ = 53905664.

The previous prime is 164506619. The next prime is 164506633. The reversal of 164506632 is 236605461.

It is a junction number, because it is equal to n+sod(n) for n = 164506593 and 164506602.

It is not an unprimeable number, because it can be changed into a prime (164506633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56673 + ... + 59504.

It is an arithmetic number, because the mean of its divisors is an integer number (13070025).

Almost surely, 2164506632 is an apocalyptic number.

164506632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164506632 is an abundant number, since it is smaller than the sum of its proper divisors (253734168).

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

164506632 is a wasteful number, since it uses less digits than its factorization.

164506632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116245 (or 116241 counting only the distinct ones).

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

The square root of 164506632 is about 12826.0138780527. The cubic root of 164506632 is about 547.9334371352.

The spelling of 164506632 in words is "one hundred sixty-four million, five hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 116177 232354 348531 464708 697062 929416 1394124 2788248 6854443 13708886 20563329 27417772 41126658 54835544 82253316 164506632