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253260040 = 23511575591
BaseRepresentation
bin11110001100001…
…11000100001000
3122122112221110111
433012013010020
51004313310130
641044124104
76163450315
oct1706070410
9578487414
10253260040
1111aa60020
1270996634
1340614517
14258c7d0c
151737a02a
hexf187108

253260040 has 32 divisors (see below), whose sum is σ = 621639360. Its totient is φ = 92094400.

The previous prime is 253260013. The next prime is 253260043. The reversal of 253260040 is 40062352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 253259993 and 253260020.

It is not an unprimeable number, because it can be changed into a prime (253260043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287356 + ... + 288235.

It is an arithmetic number, because the mean of its divisors is an integer number (19426230).

Almost surely, 2253260040 is an apocalyptic number.

253260040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253260040 is an abundant number, since it is smaller than the sum of its proper divisors (368379320).

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

253260040 is a wasteful number, since it uses less digits than its factorization.

253260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575613 (or 575609 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 253260040 is about 15914.1459085934. The cubic root of 253260040 is about 632.6869699874.

The spelling of 253260040 in words is "two hundred fifty-three million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 575591 1151182 2302364 2877955 4604728 5755910 6331501 11511820 12663002 23023640 25326004 31657505 50652008 63315010 126630020 253260040