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116148672 = 26321910613
BaseRepresentation
bin1101110110001…
…00100111000000
322002112222000200
412323010213000
5214213224142
615305245200
72610150603
oct673044700
9262488020
10116148672
115a621242
1232a93800
131b0a8c33
14115d633a
15a2e464c
hex6ec49c0

116148672 has 84 divisors (see below), whose sum is σ = 350474280. Its totient is φ = 36675072.

The previous prime is 116148647. The next prime is 116148701. The reversal of 116148672 is 276841611.

It is a happy number.

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

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, 5638 + ... + 16250.

Almost surely, 2116148672 is an apocalyptic number.

116148672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175237140).

116148672 is an abundant number, since it is smaller than the sum of its proper divisors (234325608).

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

116148672 is a wasteful number, since it uses less digits than its factorization.

116148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650 (or 10637 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 116148672 is about 10777.2293285427. The cubic root of 116148672 is about 487.9081615227.

The spelling of 116148672 in words is "one hundred sixteen million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10613 10944 21226 31839 42452 63678 84904 95517 127356 169808 191034 201647 254712 339616 382068 403294 509424 604941 679232 764136 806588 1018848 1209882 1528272 1613176 1814823 2037696 2419764 3056544 3226352 3629646 4839528 6113088 6452704 7259292 9679056 12905408 14518584 19358112 29037168 38716224 58074336 116148672