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117507096 = 233272191753
BaseRepresentation
bin1110000000100…
…00010000011000
322012002222102200
413000100100120
5220040211341
615354330200
72624536200
oct700202030
9265088380
10117507096
1160369903
1233429960
131b463335
141186b400
15a4b1db6
hex7010418

117507096 has 144 divisors (see below), whose sum is σ = 389914200. Its totient is φ = 31788288.

The previous prime is 117507073. The next prime is 117507109. The reversal of 117507096 is 690705711.

It is a super-2 number, since 2×1175070962 = 27615835220706432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117507096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66156 + ... + 67908.

Almost surely, 2117507096 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 117507096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194957100).

117507096 is an abundant number, since it is smaller than the sum of its proper divisors (272407104).

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

117507096 is a wasteful number, since it uses less digits than its factorization.

117507096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 117507096 is about 10840.0690034704. The cubic root of 117507096 is about 489.8029139366.

The spelling of 117507096 in words is "one hundred seventeen million, five hundred seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1753 1764 1862 2394 2793 3192 3506 3528 3724 4788 5259 5586 7012 7448 8379 9576 10518 11172 12271 14024 15777 16758 21036 22344 24542 31554 33307 33516 36813 42072 49084 63108 66614 67032 73626 85897 98168 99921 110439 126216 133228 147252 171794 199842 220878 233149 257691 266456 294504 299763 343588 399684 441756 466298 515382 599526 687176 699447 773073 799368 883512 932596 1030764 1199052 1398894 1546146 1632043 1865192 2061528 2098341 2398104 2797788 3092292 3264086 4196682 4896129 5595576 6184584 6528172 8393364 9792258 13056344 14688387 16786728 19584516 29376774 39169032 58753548 117507096