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164628132 = 22319497039
BaseRepresentation
bin10011101000000…
…00011010100100
3102110202222100020
421310000122210
5314121100012
624200315140
74036213254
oct1164003244
9373688306
10164628132
1184a23609
1247172ab0
13281511c6
1417c15964
15e6bda8c
hex9d006a4

164628132 has 24 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 54840096.

The previous prime is 164628131. The next prime is 164628173. The reversal of 164628132 is 231826461.

It is a junction number, because it is equal to n+sod(n) for n = 164628093 and 164628102.

It is not an unprimeable number, because it can be changed into a prime (164628131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19869 + ... + 26907.

It is an arithmetic number, because the mean of its divisors is an integer number (16016000).

Almost surely, 2164628132 is an apocalyptic number.

164628132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164628132 is an abundant number, since it is smaller than the sum of its proper divisors (219755868).

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

164628132 is a wasteful number, since it uses less digits than its factorization.

164628132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8993 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 164628132 is about 12830.7494714845. The cubic root of 164628132 is about 548.0683000455.

The spelling of 164628132 in words is "one hundred sixty-four million, six hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1949 3898 5847 7039 7796 11694 14078 21117 23388 28156 42234 84468 13719011 27438022 41157033 54876044 82314066 164628132