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252140520 = 233510871933
BaseRepresentation
bin11110000011101…
…01101111101000
3122120110001202210
433001311233220
51004021444040
641004125120
76151105362
oct1701655750
9576401683
10252140520
1111a3659a5
12705367a0
1340311a98
14256b5d32
1517208480
hexf075be8

252140520 has 64 divisors (see below), whose sum is σ = 757509120. Its totient is φ = 67140864.

The previous prime is 252140509. The next prime is 252140521. The reversal of 252140520 is 25041252.

It is a happy number.

252140520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252140521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129474 + ... + 131406.

It is an arithmetic number, because the mean of its divisors is an integer number (11836080).

Almost surely, 2252140520 is an apocalyptic number.

252140520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252140520 is an abundant number, since it is smaller than the sum of its proper divisors (505368600).

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

252140520 is a wasteful number, since it uses less digits than its factorization.

252140520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 252140520 is about 15878.9332135380. The cubic root of 252140520 is about 631.7533420309.

Adding to 252140520 its reverse (25041252), we get a palindrome (277181772).

The spelling of 252140520 in words is "two hundred fifty-two million, one hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1087 1933 2174 3261 3866 4348 5435 5799 6522 7732 8696 9665 10870 11598 13044 15464 16305 19330 21740 23196 26088 28995 32610 38660 43480 46392 57990 65220 77320 115980 130440 231960 2101171 4202342 6303513 8404684 10505855 12607026 16809368 21011710 25214052 31517565 42023420 50428104 63035130 84046840 126070260 252140520