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252405960 = 23352103383
BaseRepresentation
bin11110000101101…
…10100011001000
3122120221112212220
433002312203020
51004103442320
641013534040
76153262302
oct1702664310
9576845786
10252405960
1111a527374
1270644320
13403a5851
1425744972
151725be40
hexf0b68c8

252405960 has 32 divisors (see below), whose sum is σ = 757218240. Its totient is φ = 67308224.

The previous prime is 252405949. The next prime is 252405961. The reversal of 252405960 is 69504252.

It is not an unprimeable number, because it can be changed into a prime (252405961) 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, 1051572 + ... + 1051811.

It is an arithmetic number, because the mean of its divisors is an integer number (23663070).

Almost surely, 2252405960 is an apocalyptic number.

252405960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252405960 is an abundant number, since it is smaller than the sum of its proper divisors (504812280).

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

252405960 is a wasteful number, since it uses less digits than its factorization.

252405960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103397 (or 2103393 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 252405960 is about 15887.2892590272. The cubic root of 252405960 is about 631.9749562794.

The spelling of 252405960 in words is "two hundred fifty-two million, four hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2103383 4206766 6310149 8413532 10516915 12620298 16827064 21033830 25240596 31550745 42067660 50481192 63101490 84135320 126202980 252405960