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253683117 = 3319499991
BaseRepresentation
bin11110001111011…
…10010110101101
3122200100102211000
433013232112231
51004420324432
641101150513
76200161632
oct1707562655
9580312730
10253683117
11120219976
1270b5b439
1340731c6c
1425998189
151741057c
hexf1ee5ad

253683117 has 32 divisors (see below), whose sum is σ = 396800000. Its totient is φ = 159738480.

The previous prime is 253683049. The next prime is 253683121. The reversal of 253683117 is 711386352.

253683117 is a `hidden beast` number, since 2 + 536 + 8 + 3 + 117 = 666.

It is not a de Polignac number, because 253683117 - 214 = 253666733 is a prime.

It is a Duffinian number.

Its product of digits (30240) is a multiple of the sum of its prime divisors (1512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253683127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255492 + ... + 256482.

It is an arithmetic number, because the mean of its divisors is an integer number (12400000).

Almost surely, 2253683117 is an apocalyptic number.

253683117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

253683117 is a deficient number, since it is larger than the sum of its proper divisors (143116883).

253683117 is a wasteful number, since it uses less digits than its factorization.

253683117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 253683117 is about 15927.4328439959. The cubic root of 253683117 is about 633.0390802673.

The spelling of 253683117 in words is "two hundred fifty-three million, six hundred eighty-three thousand, one hundred seventeen".

Divisors: 1 3 9 19 27 57 171 499 513 991 1497 2973 4491 8919 9481 13473 18829 26757 28443 56487 85329 169461 255987 494509 508383 1483527 4450581 9395671 13351743 28187013 84561039 253683117