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117517338 = 23329101743
BaseRepresentation
bin1110000000100…
…10110000011010
322012010111111000
413000102300122
5220041023323
615354445430
72624611101
oct700226032
9265114430
10117517338
1160376574
1233433876
131b467bb3
1411871038
15a4b4e43
hex7012c1a

117517338 has 64 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 37396800.

The previous prime is 117517333. The next prime is 117517339. The reversal of 117517338 is 833715711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117517331) 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, 157795 + ... + 158537.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2117517338 is an apocalyptic number.

117517338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117517338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

117517338 is an abundant number, since it is smaller than the sum of its proper divisors (155679462).

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

117517338 is a wasteful number, since it uses less digits than its factorization.

117517338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 117517338 is about 10840.5414071438. The cubic root of 117517338 is about 489.8171440438.

It can be divided in two parts, 117517 and 338, that added together give a triangular number (117855 = T485).

The spelling of 117517338 in words is "one hundred seventeen million, five hundred seventeen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 101 174 202 261 303 522 606 743 783 909 1486 1566 1818 2229 2727 2929 4458 5454 5858 6687 8787 13374 17574 20061 21547 26361 40122 43094 52722 64641 75043 79083 129282 150086 158166 193923 225129 387846 450258 581769 675387 1163538 1350774 2026161 2176247 4052322 4352494 6528741 13057482 19586223 39172446 58758669 117517338