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115964672 = 28676761
BaseRepresentation
bin1101110100101…
…11101100000000
322002012121121212
412322113230000
5214141332142
615301305252
72605453265
oct672275400
9262177555
10115964672
115a505a7a
1232a05228
131b043265
141158926c
15a2a9d82
hex6e97b00

115964672 has 36 divisors (see below), whose sum is σ = 234965976. Its totient is φ = 57108480.

The previous prime is 115964671. The next prime is 115964711. The reversal of 115964672 is 276469511.

It is not an unprimeable number, because it can be changed into a prime (115964671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13772 + ... + 20532.

Almost surely, 2115964672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482988).

115964672 is an abundant number, since it is smaller than the sum of its proper divisors (119001304).

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

115964672 is an frugal number, since it uses more digits than its factorization.

115964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6830 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 115964672 is about 10768.6894281523. The cubic root of 115964672 is about 487.6503811323.

The spelling of 115964672 in words is "one hundred fifteen million, nine hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 6761 8576 13522 17152 27044 54088 108176 216352 432704 452987 865408 905974 1730816 1811948 3623896 7247792 14495584 28991168 57982336 115964672