Search a number
-
+
116631240 = 233511149593
BaseRepresentation
bin1101111001110…
…10011011001000
322010110110222120
412330322123020
5214324144430
615323451240
72614230525
oct674723310
9263413876
10116631240
115a920860
1233086b20
131b21778b
14116c014c
15a38c610
hex6f3a6c8

116631240 has 128 divisors (see below), whose sum is σ = 384912000. Its totient is φ = 28037120.

The previous prime is 116631233. The next prime is 116631241. The reversal of 116631240 is 42136611.

It is a super-2 number, since 2×1166312402 = 27205692287875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 116631240.

It is not an unprimeable number, because it can be changed into a prime (116631241) 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, 196384 + ... + 196976.

It is an arithmetic number, because the mean of its divisors is an integer number (3007125).

Almost surely, 2116631240 is an apocalyptic number.

116631240 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 116631240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192456000).

116631240 is an abundant number, since it is smaller than the sum of its proper divisors (268280760).

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

116631240 is a wasteful number, since it uses less digits than its factorization.

116631240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 116631240 is about 10799.5944368296. The cubic root of 116631240 is about 488.5829390459.

Adding to 116631240 its reverse (42136611), we get a palindrome (158767851).

The spelling of 116631240 in words is "one hundred sixteen million, six hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 149 165 220 264 298 330 440 447 593 596 660 745 894 1186 1192 1320 1490 1639 1779 1788 2235 2372 2965 2980 3278 3558 3576 4470 4744 4917 5930 5960 6523 6556 7116 8195 8895 8940 9834 11860 13046 13112 14232 16390 17790 17880 19569 19668 23720 24585 26092 32615 32780 35580 39138 39336 49170 52184 65230 65560 71160 78276 88357 97845 98340 130460 156552 176714 195690 196680 260920 265071 353428 391380 441785 530142 706856 782760 883570 971927 1060284 1325355 1767140 1943854 2120568 2650710 2915781 3534280 3887708 4859635 5301420 5831562 7775416 9719270 10602840 11663124 14578905 19438540 23326248 29157810 38877080 58315620 116631240