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117624013 = 1331535507
BaseRepresentation
bin1110000001011…
…00110011001101
322012022220210221
413000230303031
5220102432023
615401031341
72625534103
oct700546315
9265286727
10117624013
1160439731
1233485551
131b4a4610
141189bc73
15a4d685d
hex702cccd

117624013 has 16 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 103072320.

The previous prime is 117624007. The next prime is 117624019. The reversal of 117624013 is 310426711.

It is an interprime number because it is at equal distance from previous prime (117624007) and next prime (117624019).

It is not a de Polignac number, because 117624013 - 29 = 117623501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117624019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18606 + ... + 24112.

It is an arithmetic number, because the mean of its divisors is an integer number (8328096).

Almost surely, 2117624013 is an apocalyptic number.

117624013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117624013 is a deficient number, since it is larger than the sum of its proper divisors (15625523).

117624013 is a wasteful number, since it uses less digits than its factorization.

117624013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 117624013 is about 10845.4604789285. The cubic root of 117624013 is about 489.9653078312.

The spelling of 117624013 in words is "one hundred seventeen million, six hundred twenty-four thousand, thirteen".

Divisors: 1 13 31 53 403 689 1643 5507 21359 71591 170717 291871 2219321 3794323 9048001 117624013