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116103456 = 2538779
BaseRepresentation
bin1101110101110…
…01100100100000
322002110200000000
412322321210200
5214210302311
615304300000
72606602020
oct672714440
9262420000
10116103456
115a5a0277
1232a71600
131b091491
14115c3a80
15a2d6056
hex6eb9920

116103456 has 216 divisors, whose sum is σ = 396789120. Its totient is φ = 32752512.

The previous prime is 116103451. The next prime is 116103457. The reversal of 116103456 is 654301611.

116103456 is a `hidden beast` number, since 1 + 1 + 610 + 3 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116103451) 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 35 ways as a sum of consecutive naturals, for example, 1469625 + ... + 1469703.

Almost surely, 2116103456 is an apocalyptic number.

116103456 is a gapful number since it is divisible by the number (16) 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 116103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198394560).

116103456 is an abundant number, since it is smaller than the sum of its proper divisors (280685664).

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

116103456 is an frugal number, since it uses more digits than its factorization.

116103456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116103456 is about 10775.1313681087. The cubic root of 116103456 is about 487.8448400387.

The spelling of 116103456 in words is "one hundred sixteen million, one hundred three thousand, four hundred fifty-six".