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164894120 = 2351131912
BaseRepresentation
bin10011101010000…
…01010110101000
3102111021111012122
421311001112220
5314203102440
624210130412
74041401606
oct1165012650
9374244178
10164894120
1185095436
1247280a08
13282152b1
1417c84876
15e7227b5
hex9d415a8

164894120 has 48 divisors (see below), whose sum is σ = 376264980. Its totient is φ = 65031680.

The previous prime is 164894111. The next prime is 164894123. The reversal of 164894120 is 21498461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140232964 + 24661156 = 11842^2 + 4966^2 .

It is not an unprimeable number, because it can be changed into a prime (164894123) 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, 863225 + ... + 863415.

Almost surely, 2164894120 is an apocalyptic number.

164894120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164894120 is an abundant number, since it is smaller than the sum of its proper divisors (211370860).

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

164894120 is a wasteful number, since it uses less digits than its factorization.

164894120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 164894120 is about 12841.1105438743. The cubic root of 164894120 is about 548.3633106817.

The spelling of 164894120 in words is "one hundred sixty-four million, eight hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 191 226 382 452 565 764 904 955 1130 1528 1910 2260 3820 4520 7640 21583 36481 43166 72962 86332 107915 145924 172664 182405 215830 291848 364810 431660 729620 863320 1459240 4122353 8244706 16489412 20611765 32978824 41223530 82447060 164894120