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116616720 = 243511163271
BaseRepresentation
bin1101111001101…
…10111000010000
322010102202001210
412330312320100
5214323213340
615323300120
72614140303
oct674667020
9263382053
10116616720
115a910960
123307a640
131b210c9c
14116b8b3a
15a388180
hex6f36e10

116616720 has 160 divisors (see below), whose sum is σ = 398260224. Its totient is φ = 27993600.

The previous prime is 116616707. The next prime is 116616749. The reversal of 116616720 is 27616611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430185 + ... + 430455.

Almost surely, 2116616720 is an apocalyptic number.

116616720 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 116616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199130112).

116616720 is an abundant number, since it is smaller than the sum of its proper divisors (281643504).

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

116616720 is a wasteful number, since it uses less digits than its factorization.

116616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 116616720 is about 10798.9221684388. The cubic root of 116616720 is about 488.5626628355.

It can be divided in two parts, 11661 and 6720, that added together give a palindrome (18381).

The spelling of 116616720 in words is "one hundred sixteen million, six hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 163 165 176 220 240 264 271 326 330 440 489 528 542 652 660 813 815 880 978 1084 1304 1320 1355 1626 1630 1793 1956 2168 2445 2608 2640 2710 2981 3252 3260 3586 3912 4065 4336 4890 5379 5420 5962 6504 6520 7172 7824 8130 8943 8965 9780 10758 10840 11924 13008 13040 14344 14905 16260 17886 17930 19560 21516 21680 23848 26895 28688 29810 32520 35772 35860 39120 43032 44173 44715 47696 53790 59620 65040 71544 71720 86064 88346 89430 107580 119240 132519 143088 143440 176692 178860 215160 220865 238480 265038 353384 357720 430320 441730 485903 530076 662595 706768 715440 883460 971806 1060152 1325190 1457709 1766920 1943612 2120304 2429515 2650380 2915418 3533840 3887224 4859030 5300760 5830836 7288545 7774448 9718060 10601520 11661672 14577090 19436120 23323344 29154180 38872240 58308360 116616720