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253613340 = 223251408963
BaseRepresentation
bin11110001110111…
…01010100011100
3122200012220002200
433013131110130
51004411111330
641055451500
76166451331
oct1707352434
9580186080
10253613340
11120181502
1270b26b90
1340709286
142597a988
15173e9a60
hexf1dd51c

253613340 has 36 divisors (see below), whose sum is σ = 769294344. Its totient is φ = 67630176.

The previous prime is 253613333. The next prime is 253613359. The reversal of 253613340 is 43316352.

It is a happy number.

253613340 is a `hidden beast` number, since 2 + 5 + 3 + 613 + 3 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704302 + ... + 704661.

Almost surely, 2253613340 is an apocalyptic number.

253613340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253613340 is an abundant number, since it is smaller than the sum of its proper divisors (515681004).

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

253613340 is a wasteful number, since it uses less digits than its factorization.

253613340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408978 (or 1408973 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253613340 is about 15925.2422273572. The cubic root of 253613340 is about 632.9810345987.

Adding to 253613340 its reverse (43316352), we get a palindrome (296929692).

It can be divided in two parts, 2536 and 13340, that added together give a square (15876 = 1262).

The spelling of 253613340 in words is "two hundred fifty-three million, six hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1408963 2817926 4226889 5635852 7044815 8453778 12680667 14089630 16907556 21134445 25361334 28179260 42268890 50722668 63403335 84537780 126806670 253613340