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117231680 = 2651093361
BaseRepresentation
bin1101111110011…
…01000001000000
322011120222122002
412333031001000
5220002403210
615344403132
72622311216
oct677150100
9264528562
10117231680
11601a0995
12333164a8
131b397b77
14117d8cb6
15a45a4a5
hex6fcd040

117231680 has 56 divisors (see below), whose sum is σ = 281802840. Its totient is φ = 46448640.

The previous prime is 117231679. The next prime is 117231683. The reversal of 117231680 is 86132711.

It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 84787264 = 5696^2 + 9208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117231683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33200 + ... + 36560.

Almost surely, 2117231680 is an apocalyptic number.

117231680 is a gapful number since it is divisible by the number (10) 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 117231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140901420).

117231680 is an abundant number, since it is smaller than the sum of its proper divisors (164571160).

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

117231680 is a wasteful number, since it uses less digits than its factorization.

117231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 117231680 is about 10827.3579418065. The cubic root of 117231680 is about 489.4199439005.

The spelling of 117231680 in words is "one hundred seventeen million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3361 3488 4360 6722 6976 8720 13444 16805 17440 26888 33610 34880 53776 67220 107552 134440 215104 268880 366349 537760 732698 1075520 1465396 1831745 2930792 3663490 5861584 7326980 11723168 14653960 23446336 29307920 58615840 117231680