Search a number
-
+
116467520 = 2651327997
BaseRepresentation
bin1101111000100…
…10011101000000
322010011011101212
412330102131000
5214303430040
615320145252
72612646311
oct674223500
9263134355
10116467520
115a819854
1233008228
131b18b0c0
141167a608
15a358d65
hex6f12740

116467520 has 56 divisors (see below), whose sum is σ = 298682664. Its totient is φ = 43001856.

The previous prime is 116467499. The next prime is 116467531. The reversal of 116467520 is 25764611.

It can be written as a sum of positive squares in 4 ways, for example, as 17106496 + 99361024 = 4136^2 + 9968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9839 + ... + 18158.

It is an arithmetic number, because the mean of its divisors is an integer number (5333619).

Almost surely, 2116467520 is an apocalyptic number.

116467520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116467520 is an abundant number, since it is smaller than the sum of its proper divisors (182215144).

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

116467520 is a wasteful number, since it uses less digits than its factorization.

116467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28027 (or 28017 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 116467520 is about 10792.0118606310. The cubic root of 116467520 is about 488.3542174308.

The spelling of 116467520 in words is "one hundred sixteen million, four hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 27997 55994 111988 139985 223976 279970 363961 447952 559940 727922 895904 1119880 1455844 1791808 1819805 2239760 2911688 3639610 4479520 5823376 7279220 8959040 11646752 14558440 23293504 29116880 58233760 116467520