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117041364 = 223211297277
BaseRepresentation
bin1101111100111…
…10100011010100
322011020022120100
412332132203110
5214430310424
615340334100
72620556316
oct676364324
9264208510
10117041364
1160080a00
1233244330
131b32c35b
14117897b6
15a41ddc9
hex6f9e8d4

117041364 has 108 divisors (see below), whose sum is σ = 329734132. Its totient is φ = 34974720.

The previous prime is 117041363. The next prime is 117041369. The reversal of 117041364 is 463140711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 81757764 = 5940^2 + 9042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117041363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422394 + ... + 422670.

Almost surely, 2117041364 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 117041364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164867066).

117041364 is an abundant number, since it is smaller than the sum of its proper divisors (212692768).

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

117041364 is a wasteful number, since it uses less digits than its factorization.

117041364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117041364 is about 10818.5657090023. The cubic root of 117041364 is about 489.1549560983.

The spelling of 117041364 in words is "one hundred seventeen million, forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 121 132 194 198 242 277 291 363 388 396 484 554 582 726 831 873 1067 1089 1108 1164 1452 1662 1746 2134 2178 2493 3047 3201 3324 3492 4268 4356 4986 6094 6402 9141 9603 9972 11737 12188 12804 18282 19206 23474 26869 27423 33517 35211 36564 38412 46948 53738 54846 67034 70422 80607 100551 105633 107476 109692 134068 140844 161214 201102 211266 241821 295559 301653 322428 402204 422532 483642 591118 603306 886677 967284 1182236 1206612 1773354 2660031 3251149 3546708 5320062 6502298 9753447 10640124 13004596 19506894 29260341 39013788 58520682 117041364