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117679408 = 24711234153
BaseRepresentation
bin1110000001110…
…10010100110000
322012102201210121
413000322110300
5220111220113
615402140024
72626154440
oct700722460
9265381717
10117679408
1160477310
12334b1614
131b4c38b2
14118b4120
15a4e7e8d
hex703a530

117679408 has 80 divisors (see below), whose sum is σ = 296695296. Its totient is φ = 43845120.

The previous prime is 117679357. The next prime is 117679409. The reversal of 117679408 is 804976711.

It is not an unprimeable number, because it can be changed into a prime (117679409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26260 + ... + 30412.

Almost surely, 2117679408 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 117679408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148347648).

117679408 is an abundant number, since it is smaller than the sum of its proper divisors (179015888).

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

117679408 is a wasteful number, since it uses less digits than its factorization.

117679408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 117679408 is about 10848.0140117904. The cubic root of 117679408 is about 490.0422121069.

The spelling of 117679408 in words is "one hundred seventeen million, six hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1771 2024 2576 3542 4048 4153 7084 8306 14168 16612 28336 29071 33224 45683 58142 66448 91366 95519 116284 182732 191038 232568 319781 365464 382076 465136 639562 668633 730928 764152 1050709 1279124 1337266 1528304 2101418 2558248 2674532 4202836 5116496 5349064 7354963 8405672 10698128 14709926 16811344 29419852 58839704 117679408