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164497960 = 23511373859
BaseRepresentation
bin10011100111000…
…00101000101000
3102110112100210001
421303200220220
5314102413320
624153432344
74035131614
oct1163405050
9373470701
10164497960
1184944830
124710b6b4
1328106b93
1417bc0344
15e69520a
hex9ce0a28

164497960 has 32 divisors (see below), whose sum is σ = 403768800. Its totient is φ = 59817280.

The previous prime is 164497951. The next prime is 164497961. The reversal of 164497960 is 69794461.

It is a super-3 number, since 3×1644979603 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164497960.

It is not an unprimeable number, because it can be changed into a prime (164497961) 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, 186490 + ... + 187369.

It is an arithmetic number, because the mean of its divisors is an integer number (12617775).

Almost surely, 2164497960 is an apocalyptic number.

164497960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164497960 is an abundant number, since it is smaller than the sum of its proper divisors (239270840).

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

164497960 is a wasteful number, since it uses less digits than its factorization.

164497960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373881 (or 373877 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 164497960 is about 12825.6758106542. The cubic root of 164497960 is about 547.9238088258.

The spelling of 164497960 in words is "one hundred sixty-four million, four hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 373859 747718 1495436 1869295 2990872 3738590 4112449 7477180 8224898 14954360 16449796 20562245 32899592 41124490 82248980 164497960