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116120448 = 2732100799
BaseRepresentation
bin1101110101111…
…01101110000000
322002111112022100
412322331232000
5214211323243
615304510400
72610002403
oct672755600
9262445270
10116120448
115a602014
1232a7b400
131b099132
14115c9d3a
15a2db0d3
hex6ebdb80

116120448 has 48 divisors (see below), whose sum is σ = 334152000. Its totient is φ = 38706432.

The previous prime is 116120423. The next prime is 116120471. The reversal of 116120448 is 844021611.

It is a happy number.

116120448 is a `hidden beast` number, since 1 + 1 + 612 + 0 + 4 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49248 + ... + 51551.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2116120448 is an apocalyptic number.

116120448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116120448 is an abundant number, since it is smaller than the sum of its proper divisors (218031552).

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

116120448 is a wasteful number, since it uses less digits than its factorization.

116120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100819 (or 100804 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 116120448 is about 10775.9198215280. The cubic root of 116120448 is about 487.8686379382.

It can be divided in two parts, 1161 and 20448, that added together give a square (21609 = 1472).

The spelling of 116120448 in words is "one hundred sixteen million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 100799 201598 302397 403196 604794 806392 907191 1209588 1612784 1814382 2419176 3225568 3628764 4838352 6451136 7257528 9676704 12902272 14515056 19353408 29030112 38706816 58060224 116120448