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116381980 = 225111340693
BaseRepresentation
bin1101110111111…
…01100100011100
322002222211001201
412323331210130
5214243210410
615314245244
72612142031
oct673754434
9262884051
10116381980
115a770560
1232b86824
131b15b1a0
1411657388
15a33d83a
hex6efd91c

116381980 has 48 divisors (see below), whose sum is σ = 287136864. Its totient is φ = 39064320.

The previous prime is 116381953. The next prime is 116381981. The reversal of 116381980 is 89183611.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116381981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17487 + ... + 23206.

It is an arithmetic number, because the mean of its divisors is an integer number (5982018).

Almost surely, 2116381980 is an apocalyptic number.

116381980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116381980 is an abundant number, since it is smaller than the sum of its proper divisors (170754884).

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

116381980 is a wasteful number, since it uses less digits than its factorization.

116381980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40726 (or 40724 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 116381980 is about 10788.0480162076. The cubic root of 116381980 is about 488.2346302963.

The spelling of 116381980 in words is "one hundred sixteen million, three hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 40693 81386 162772 203465 406930 447623 529009 813860 895246 1058018 1790492 2116036 2238115 2645045 4476230 5290090 5819099 8952460 10580180 11638198 23276396 29095495 58190990 116381980