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164005720 = 23519215797
BaseRepresentation
bin10011100011010…
…00011101011000
3102102121100112221
421301220131120
5313441140340
624135113424
74031011534
oct1161503530
9372540487
10164005720
1184638a1a
1246b12874
1327c93b08
1417ad2bc4
15e5e944a
hex9c68758

164005720 has 32 divisors (see below), whose sum is σ = 388436400. Its totient is φ = 62149248.

The previous prime is 164005711. The next prime is 164005727. The reversal of 164005720 is 27500461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164005727) 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 7 ways as a sum of consecutive naturals, for example, 107139 + ... + 108658.

Almost surely, 2164005720 is an apocalyptic number.

164005720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164005720 is an abundant number, since it is smaller than the sum of its proper divisors (224430680).

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

164005720 is a wasteful number, since it uses less digits than its factorization.

164005720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215827 (or 215823 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 164005720 is about 12806.4718013979. The cubic root of 164005720 is about 547.3767311427.

The spelling of 164005720 in words is "one hundred sixty-four million, five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 215797 431594 863188 1078985 1726376 2157970 4100143 4315940 8200286 8631880 16400572 20500715 32801144 41001430 82002860 164005720