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116187660 = 223251953641
BaseRepresentation
bin1101110110011…
…10001000001100
322002121221111200
412323032020030
5214221001120
615310145500
72610402351
oct673161014
9262557450
10116187660
115a648566
1232ab2290
131b0c08c4
1411606628
15a300e90
hex6ece20c

116187660 has 144 divisors (see below), whose sum is σ = 378574560. Its totient is φ = 28753920.

The previous prime is 116187653. The next prime is 116187661. The reversal of 116187660 is 66781611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116187661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180940 + ... + 181580.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 2116187660 is an apocalyptic number.

116187660 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 116187660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189287280).

116187660 is an abundant number, since it is smaller than the sum of its proper divisors (262386900).

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

116187660 is a wasteful number, since it uses less digits than its factorization.

116187660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116187660 is about 10779.0379904702. The cubic root of 116187660 is about 487.9627479850.

The spelling of 116187660 in words is "one hundred sixteen million, one hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 641 684 795 855 954 1007 1060 1140 1282 1590 1710 1908 1923 2014 2385 2564 3021 3180 3205 3420 3846 4028 4770 5035 5769 6042 6410 7692 9063 9540 9615 10070 11538 12084 12179 12820 15105 18126 19230 20140 23076 24358 28845 30210 33973 36252 36537 38460 45315 48716 57690 60420 60895 67946 73074 90630 101919 109611 115380 121790 135892 146148 169865 181260 182685 203838 219222 243580 305757 339730 365370 407676 438444 509595 548055 611514 645487 679460 730740 1019190 1096110 1223028 1290974 1528785 1936461 2038380 2192220 2581948 3057570 3227435 3872922 5809383 6115140 6454870 7745844 9682305 11618766 12909740 19364610 23237532 29046915 38729220 58093830 116187660