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117354996 = 223211229929
BaseRepresentation
bin1101111111010…
…11000111110100
322011211020210100
412333223013310
5220020324441
615351154100
72623333563
oct677530764
9264736710
10117354996
1160275600
1233375930
131b40c035
141182bbda
15a481cb6
hex6feb1f4

117354996 has 108 divisors (see below), whose sum is σ = 337673700. Its totient is φ = 34298880.

The previous prime is 117354973. The next prime is 117355003. The reversal of 117354996 is 699453711.

117354996 is a `hidden beast` number, since 1 + 17 + 3 + 549 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 92852496 = 4950^2 + 9636^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125860 + ... + 126788.

Almost surely, 2117354996 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 117354996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

117354996 is an abundant number, since it is smaller than the sum of its proper divisors (220318704).

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

117354996 is a wasteful number, since it uses less digits than its factorization.

117354996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 974 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 117354996 is about 10833.0510937593. The cubic root of 117354996 is about 489.5914907050.

It can be divided in two parts, 1173 and 54996, that added together give a square (56169 = 2372).

The spelling of 117354996 in words is "one hundred seventeen million, three hundred fifty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 638 726 929 957 1044 1089 1276 1452 1858 1914 2178 2787 2871 3509 3716 3828 4356 5574 5742 7018 8361 10219 10527 11148 11484 14036 16722 20438 21054 26941 30657 31581 33444 40876 42108 53882 61314 63162 80823 91971 107764 112409 122628 126324 161646 183942 224818 242469 296351 323292 337227 367884 449636 484938 592702 674454 889053 969876 1011681 1185404 1348908 1778106 2023362 2667159 3259861 3556212 4046724 5334318 6519722 9779583 10668636 13039444 19559166 29338749 39118332 58677498 117354996