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164495700 = 223252182773
BaseRepresentation
bin10011100111000…
…00000101010100
3102110112020200100
421303200011110
5314102330300
624153414100
74035122205
oct1163400524
9373466610
10164495700
1184943066
124710a330
1328105b45
1417bbd5ac
15e694700
hex9ce0154

164495700 has 54 divisors (see below), whose sum is σ = 515605454. Its totient is φ = 43865280.

The previous prime is 164495699. The next prime is 164495713. The reversal of 164495700 is 7594461.

164495700 is a `hidden beast` number, since 1 + 644 + 9 + 5 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37527876 + 126967824 = 6126^2 + 11268^2 .

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 90487 + ... + 92286.

Almost surely, 2164495700 is an apocalyptic number.

164495700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164495700 is an abundant number, since it is smaller than the sum of its proper divisors (351109754).

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

164495700 is a wasteful number, since it uses less digits than its factorization.

164495700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182793 (or 182783 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164495700 is about 12825.5877058324. The cubic root of 164495700 is about 547.9212995475.

It can be divided in two parts, 1644 and 95700, that added together give a square (97344 = 3122).

The spelling of 164495700 in words is "one hundred sixty-four million, four hundred ninety-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 182773 365546 548319 731092 913865 1096638 1644957 1827730 2193276 2741595 3289914 3655460 4569325 5483190 6579828 8224785 9138650 10966380 13707975 16449570 18277300 27415950 32899140 41123925 54831900 82247850 164495700