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117112352 = 2572193931
BaseRepresentation
bin1101111101011…
…11111000100000
322011100220221112
412332233320200
5214440043402
615342042452
72621303300
oct676577040
9264326845
10117112352
116011a275
1233279428
131b355766
14117a7600
15a434e52
hex6fafe20

117112352 has 72 divisors (see below), whose sum is σ = 282396240. Its totient is φ = 47537280.

The previous prime is 117112319. The next prime is 117112357. The reversal of 117112352 is 253211711.

It is a super-3 number, since 3×1171123523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (117112357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27827 + ... + 31757.

It is an arithmetic number, because the mean of its divisors is an integer number (3922170).

Almost surely, 2117112352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141198120).

117112352 is an abundant number, since it is smaller than the sum of its proper divisors (165283888).

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

117112352 is a wasteful number, since it uses less digits than its factorization.

117112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3959 counting only the distinct ones).

The product of its digits is 420, while the sum is 23.

The square root of 117112352 is about 10821.8460532388. The cubic root of 117112352 is about 489.2538302994.

The spelling of 117112352 in words is "one hundred seventeen million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 3931 4256 7448 7862 14896 15724 27517 29792 31448 55034 62896 74689 110068 125792 149378 192619 220136 298756 385238 440272 522823 597512 770476 880544 1045646 1195024 1540952 2091292 2390048 3081904 3659761 4182584 6163808 7319522 8365168 14639044 16730336 29278088 58556176 117112352