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116409120 = 2535242519
BaseRepresentation
bin1101111000001…
…00001100100000
322010001012021220
412330010030200
5214300042440
615315015040
72612314122
oct674041440
9263035256
10116409120
115a789993
1232b9a480
131b16a649
1411663212
15a3468d0
hex6f04320

116409120 has 48 divisors (see below), whose sum is σ = 366690240. Its totient is φ = 31042304.

The previous prime is 116409091. The next prime is 116409133. The reversal of 116409120 is 21904611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 120780 + ... + 121739.

It is an arithmetic number, because the mean of its divisors is an integer number (7639380).

Almost surely, 2116409120 is an apocalyptic number.

116409120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116409120 is an abundant number, since it is smaller than the sum of its proper divisors (250281120).

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

116409120 is a wasteful number, since it uses less digits than its factorization.

116409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242537 (or 242529 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 116409120 is about 10789.3058164091. The cubic root of 116409120 is about 488.2725790635.

The spelling of 116409120 in words is "one hundred sixteen million, four hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 242519 485038 727557 970076 1212595 1455114 1940152 2425190 2910228 3637785 3880304 4850380 5820456 7275570 7760608 9700760 11640912 14551140 19401520 23281824 29102280 38803040 58204560 116409120