Search a number
-
+
252662160 = 24351761927
BaseRepresentation
bin11110000111101…
…01000110010000
3122121102120022210
433003311012100
51004140142120
641023232120
76155410242
oct1703650620
9577376283
10252662160
1111a691903
1270748640
134046534a
14257b0092
15172acce0
hexf0f5190

252662160 has 80 divisors (see below), whose sum is σ = 829339776. Its totient is φ = 63412224.

The previous prime is 252662129. The next prime is 252662167. The reversal of 252662160 is 61266252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (252662167) 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 15 ways as a sum of consecutive naturals, for example, 26884 + ... + 35043.

Almost surely, 2252662160 is an apocalyptic number.

252662160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252662160 is an abundant number, since it is smaller than the sum of its proper divisors (576677616).

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

252662160 is a wasteful number, since it uses less digits than its factorization.

252662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61960 (or 61954 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 252662160 is about 15895.3502635205. The cubic root of 252662160 is about 632.1887088030.

The spelling of 252662160 in words is "two hundred fifty-two million, six hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 61927 123854 185781 247708 309635 371562 495416 619270 743124 928905 990832 1052759 1238540 1486248 1857810 2105518 2477080 2972496 3158277 3715620 4211036 4954160 5263795 6316554 7431240 8422072 10527590 12633108 14862480 15791385 16844144 21055180 25266216 31582770 42110360 50532432 63165540 84220720 126331080 252662160