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116011620 = 223255771117
BaseRepresentation
bin1101110101000…
…11001001100100
322002022000000200
412322203021210
5214144332440
615302310500
72606040204
oct672431144
9262260020
10116011620
115a53827a
1232a28430
131b05b73a
141159c404
15a2b8c30
hex6ea3264

116011620 has 72 divisors (see below), whose sum is σ = 352827384. Its totient is φ = 30855168.

The previous prime is 116011607. The next prime is 116011669. The reversal of 116011620 is 26110611.

116011620 is a `hidden beast` number, since 1 + 1 + 601 + 1 + 62 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 99560484 = 4056^2 + 9978^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116011593 and 116011602.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103302 + ... + 104418.

Almost surely, 2116011620 is an apocalyptic number.

116011620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116011620 is an abundant number, since it is smaller than the sum of its proper divisors (236815764).

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

116011620 is a wasteful number, since it uses less digits than its factorization.

116011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116011620 is about 10770.8690457177. The cubic root of 116011620 is about 487.7161802555.

The spelling of 116011620 in words is "one hundred sixteen million, eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 1117 1154 1731 2234 2308 2885 3351 3462 4468 5193 5585 5770 6702 6924 8655 10053 10386 11170 11540 13404 16755 17310 20106 20772 22340 25965 33510 34620 40212 50265 51930 67020 100530 103860 201060 644509 1289018 1933527 2578036 3222545 3867054 5800581 6445090 7734108 9667635 11601162 12890180 19335270 23202324 29002905 38670540 58005810 116011620