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252367020 = 223256912029
BaseRepresentation
bin11110000101011…
…01000010101100
3122120212120110200
433002231002230
51004101221040
641013033500
76153040623
oct1702550254
9576776420
10252367020
1111a500094
1270625890
1340390bc9
14257346ba
1517250630
hexf0ad0ac

252367020 has 72 divisors (see below), whose sum is σ = 766998960. Its totient is φ = 67167360.

The previous prime is 252367007. The next prime is 252367021. The reversal of 252367020 is 20763252.

It is a super-2 number, since 2×2523670202 = 127378225567360800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252367021) 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 23 ways as a sum of consecutive naturals, for example, 123366 + ... + 125394.

Almost surely, 2252367020 is an apocalyptic number.

252367020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252367020 is an abundant number, since it is smaller than the sum of its proper divisors (514631940).

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

252367020 is a wasteful number, since it uses less digits than its factorization.

252367020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252367020 is about 15886.0637037625. The cubic root of 252367020 is about 631.9424552370.

The spelling of 252367020 in words is "two hundred fifty-two million, three hundred sixty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 691 1382 2029 2073 2764 3455 4058 4146 6087 6219 6910 8116 8292 10145 10365 12174 12438 13820 18261 20290 20730 24348 24876 30435 31095 36522 40580 41460 60870 62190 73044 91305 121740 124380 182610 365220 1402039 2804078 4206117 5608156 7010195 8412234 12618351 14020390 16824468 21030585 25236702 28040780 42061170 50473404 63091755 84122340 126183510 252367020