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117502164 = 22351317547
BaseRepresentation
bin1110000000011…
…11000011010100
322012002201200000
413000033003110
5220040032124
615354251300
72624515623
oct700170324
9265081600
10117502164
116036612a
1233426b30
131b461010
14118696ba
15a4b06c9
hex700f0d4

117502164 has 144 divisors (see below), whose sum is σ = 351868608. Its totient is φ = 33965568.

The previous prime is 117502139. The next prime is 117502169. The reversal of 117502164 is 461205711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117502169) 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 47 ways as a sum of consecutive naturals, for example, 214539 + ... + 215085.

It is an arithmetic number, because the mean of its divisors is an integer number (2443532).

Almost surely, 2117502164 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 117502164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175934304).

117502164 is an abundant number, since it is smaller than the sum of its proper divisors (234366444).

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

117502164 is a wasteful number, since it uses less digits than its factorization.

117502164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117502164 is about 10839.8415117565. The cubic root of 117502164 is about 489.7960611824.

Adding to 117502164 its reverse (461205711), we get a palindrome (578707875).

The spelling of 117502164 in words is "one hundred seventeen million, five hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 547 612 663 702 884 918 972 1053 1094 1326 1377 1404 1641 1836 1989 2106 2188 2652 2754 3159 3282 3978 4131 4212 4923 5508 5967 6318 6564 7111 7956 8262 9299 9846 11934 12636 14222 14769 16524 17901 18598 19692 21333 23868 27897 28444 29538 35802 37196 42666 44307 53703 55794 59076 63999 71604 83691 85332 88614 107406 111588 120887 127998 132921 167382 177228 191997 214812 241774 251073 255996 265842 334764 362661 383994 483548 502146 531684 575991 725322 753219 767988 1004292 1087983 1151982 1450644 1506438 1727973 2175966 2259657 2303964 3012876 3263949 3455946 4351932 4519314 6527898 6911892 9038628 9791847 13055796 19583694 29375541 39167388 58751082 117502164