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116045730 = 23351922621
BaseRepresentation
bin1101110101010…
…11011110100010
322002100201211000
412322223132202
5214201430410
615303132430
72606241513
oct672533642
9262321730
10116045730
115a560969
1232a44116
131b071118
14115aaa0a
15a2c3dc0
hex6eab7a2

116045730 has 64 divisors (see below), whose sum is σ = 325756800. Its totient is φ = 29315520.

The previous prime is 116045701. The next prime is 116045771. The reversal of 116045730 is 37540611.

116045730 is a `hidden beast` number, since 1 + 1 + 604 + 57 + 3 + 0 = 666.

It is a super-2 number, since 2×1160457302 = 26933222902465800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116045694 and 116045703.

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, 6181 + ... + 16440.

It is an arithmetic number, because the mean of its divisors is an integer number (5089950).

Almost surely, 2116045730 is an apocalyptic number.

116045730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116045730 is an abundant number, since it is smaller than the sum of its proper divisors (209711070).

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

116045730 is a wasteful number, since it uses less digits than its factorization.

116045730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22656 (or 22650 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116045730 is about 10772.4523670332. The cubic root of 116045730 is about 487.7639753779.

The spelling of 116045730 in words is "one hundred sixteen million, forty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 22621 45242 67863 113105 135726 203589 226210 339315 407178 429799 610767 678630 859598 1017945 1221534 1289397 2035890 2148995 2578794 3053835 3868191 4297990 6107670 6446985 7736382 11604573 12893970 19340955 23209146 38681910 58022865 116045730