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114631660 = 2251113149269
BaseRepresentation
bin1101101010100…
…10001111101100
321222200220002001
412311102033230
5213321203120
615212542044
72561232043
oct665221754
9258626061
10114631660
1159785510
1232481924
131a9975b0
141131d55a
15a0e4e0a
hex6d523ec

114631660 has 96 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 38077440.

The previous prime is 114631619. The next prime is 114631669. The reversal of 114631660 is 66136411.

114631660 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (114631669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426006 + ... + 426274.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2114631660 is an apocalyptic number.

114631660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114631660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

114631660 is an abundant number, since it is smaller than the sum of its proper divisors (171136340).

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

114631660 is a wasteful number, since it uses less digits than its factorization.

114631660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 114631660 is about 10706.6175797962. The cubic root of 114631660 is about 485.7746645158.

The spelling of 114631660 in words is "one hundred fourteen million, six hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 149 220 260 269 286 298 538 572 596 715 745 1076 1345 1430 1490 1639 1937 2690 2860 2959 2980 3278 3497 3874 5380 5918 6556 6994 7748 8195 9685 11836 13988 14795 16390 17485 19370 21307 29590 32780 34970 38467 38740 40081 42614 59180 69940 76934 80162 85228 106535 153868 160324 192335 200405 213070 384670 400810 426140 440891 521053 769340 801620 881782 1042106 1763564 2084212 2204455 2605265 4408910 5210530 5731583 8817820 10421060 11463166 22926332 28657915 57315830 114631660