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115486416 = 2432801989
BaseRepresentation
bin1101110001000…
…10111011010000
322001022022120200
412320202323100
5214031031131
615243135200
72601422043
oct670427320
9261268520
10115486416
115a209721
1232814500
131ac06676
14114a2c5a
15a2132e6
hex6e22ed0

115486416 has 30 divisors (see below), whose sum is σ = 323201970. Its totient is φ = 38495424.

The previous prime is 115486409. The next prime is 115486451. The reversal of 115486416 is 614684511.

115486416 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 8 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 13395600 = 10104^2 + 3660^2 .

It is a super-2 number, since 2×1154864162 = 26674224561050112, which contains 22 as substring.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400851 + ... + 401138.

It is an arithmetic number, because the mean of its divisors is an integer number (10773399).

Almost surely, 2115486416 is an apocalyptic number.

115486416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115486416 is an abundant number, since it is smaller than the sum of its proper divisors (207715554).

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

115486416 is a wasteful number, since it uses less digits than its factorization.

115486416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802003 (or 801994 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 115486416 is about 10746.4606266435. The cubic root of 115486416 is about 486.9790759056.

The spelling of 115486416 in words is "one hundred fifteen million, four hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 801989 1603978 2405967 3207956 4811934 6415912 7217901 9623868 12831824 14435802 19247736 28871604 38495472 57743208 115486416