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252160440 = 23357300191
BaseRepresentation
bin11110000011110…
…10100110111000
3122120111002002120
433001322212320
51004023113230
641004401240
76151220430
oct1701724670
9576432076
10252160440
1111a379964
1270546220
134031ab7c
14256bd2c0
151720e310
hexf07a9b8

252160440 has 64 divisors (see below), whose sum is σ = 864552960. Its totient is φ = 57636480.

The previous prime is 252160427. The next prime is 252160451. The reversal of 252160440 is 44061252.

252160440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252160440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149256 + ... + 150935.

It is an arithmetic number, because the mean of its divisors is an integer number (13508640).

Almost surely, 2252160440 is an apocalyptic number.

252160440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252160440 is an abundant number, since it is smaller than the sum of its proper divisors (612392520).

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

252160440 is a wasteful number, since it uses less digits than its factorization.

252160440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300212 (or 300208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252160440 is about 15879.5604473172. The cubic root of 252160440 is about 631.7699785149.

The spelling of 252160440 in words is "two hundred fifty-two million, one hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 300191 600382 900573 1200764 1500955 1801146 2101337 2401528 3001910 3602292 4202674 4502865 6003820 6304011 7204584 8405348 9005730 10506685 12007640 12608022 16810696 18011460 21013370 25216044 31520055 36022920 42026740 50432088 63040110 84053480 126080220 252160440