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117377052 = 223131814157
BaseRepresentation
bin1101111111100…
…00100000011100
322011212101001020
412333300200130
5220022031202
615351444140
72623455102
oct677604034
9264771036
10117377052
1160290131
1233386650
131b4190a0
1411835c72
15a4885bc
hex6ff081c

117377052 has 48 divisors (see below), whose sum is σ = 296648352. Its totient is φ = 35907840.

The previous prime is 117377047. The next prime is 117377059. The reversal of 117377052 is 250773711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117377059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26158 + ... + 30314.

It is an arithmetic number, because the mean of its divisors is an integer number (6180174).

Almost surely, 2117377052 is an apocalyptic number.

117377052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117377052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148324176).

117377052 is an abundant number, since it is smaller than the sum of its proper divisors (179271300).

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

117377052 is a wasteful number, since it uses less digits than its factorization.

117377052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 117377052 is about 10834.0690416851. The cubic root of 117377052 is about 489.6221604786.

The spelling of 117377052 in words is "one hundred seventeen million, three hundred seventy-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2353 4157 4706 7059 8314 9412 12471 14118 16628 24942 28236 49884 54041 108082 162123 216164 324246 648492 752417 1504834 2257251 3009668 4514502 9029004 9781421 19562842 29344263 39125684 58688526 117377052