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117831930 = 235172931257
BaseRepresentation
bin1110000010111…
…11100011111010
322012201111000120
413001133203322
5220131110210
615405314110
72630361216
oct701374372
9265644016
10117831930
1160570967
1233565936
131b548148
1411913946
15a528270
hex705f8fa

117831930 has 128 divisors (see below), whose sum is σ = 320993280. Its totient is φ = 27525120.

The previous prime is 117831929. The next prime is 117831937. The reversal of 117831930 is 39138711.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 117831891 and 117831900.

It is not an unprimeable number, because it can be changed into a prime (117831937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458362 + ... + 458618.

It is an arithmetic number, because the mean of its divisors is an integer number (2507760).

Almost surely, 2117831930 is an apocalyptic number.

117831930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117831930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160496640).

117831930 is an abundant number, since it is smaller than the sum of its proper divisors (203161350).

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

117831930 is a wasteful number, since it uses less digits than its factorization.

117831930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 117831930 is about 10855.0416857790. The cubic root of 117831930 is about 490.2538321123.

The spelling of 117831930 in words is "one hundred seventeen million, eight hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 31 34 51 58 62 85 87 93 102 145 155 170 174 186 255 257 290 310 435 465 493 510 514 527 771 870 899 930 986 1054 1285 1479 1542 1581 1798 2465 2570 2635 2697 2958 3162 3855 4369 4495 4930 5270 5394 7395 7453 7710 7905 7967 8738 8990 13107 13485 14790 14906 15283 15810 15934 21845 22359 23901 26214 26970 30566 37265 39835 43690 44718 45849 47802 65535 74530 76415 79670 91698 111795 119505 126701 131070 135439 152830 223590 229245 231043 239010 253402 270878 380103 406317 458490 462086 633505 677195 693129 760206 812634 1155215 1267010 1354390 1386258 1900515 2031585 2310430 3465645 3801030 3927731 4063170 6931290 7855462 11783193 19638655 23566386 39277310 58915965 117831930