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116516628 = 22323678819
BaseRepresentation
bin1101111000111…
…10011100010100
322010020122202200
412330132130110
5214312013003
615321204500
72613242424
oct674363424
9263218680
10116516628
115a852738
1233030730
131b1a7567
1411690484
15a3686a3
hex6f1e714

116516628 has 36 divisors (see below), whose sum is σ = 295364160. Its totient is φ = 38728656.

The previous prime is 116516599. The next prime is 116516633. The reversal of 116516628 is 826615611.

116516628 is a `hidden beast` number, since 1 + 16 + 5 + 16 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1165166282 = 27152249200980768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116516592 and 116516601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8803 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (8204560).

Almost surely, 2116516628 is an apocalyptic number.

116516628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116516628 is an abundant number, since it is smaller than the sum of its proper divisors (178847532).

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

116516628 is a wasteful number, since it uses less digits than its factorization.

116516628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9191 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 116516628 is about 10794.2868222037. The cubic root of 116516628 is about 488.4228452309.

The spelling of 116516628 in words is "one hundred sixteen million, five hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 367 734 1101 1468 2202 3303 4404 6606 8819 13212 17638 26457 35276 52914 79371 105828 158742 317484 3236573 6473146 9709719 12946292 19419438 29129157 38838876 58258314 116516628