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116903808 = 27327219109
BaseRepresentation
bin1101111011111…
…00111110000000
322010222022212200
412331330332000
5214411410213
615333353200
72616444300
oct675747600
9263868780
10116903808
115aa9761a
1233198800
131b2b1868
1411751600
15a3e3273
hex6f7cf80

116903808 has 288 divisors, whose sum is σ = 415701000. Its totient is φ = 31352832.

The previous prime is 116903807. The next prime is 116903819. The reversal of 116903808 is 808309611.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116903807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072458 + ... + 1072566.

Almost surely, 2116903808 is an apocalyptic number.

116903808 is a gapful number since it is divisible by the number (18) 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 116903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207850500).

116903808 is an abundant number, since it is smaller than the sum of its proper divisors (298797192).

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

116903808 is a wasteful number, since it uses less digits than its factorization.

116903808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116903808 is about 10812.2064353211. The cubic root of 116903808 is about 488.9632501520.

It can be divided in two parts, 116903 and 808, that added together give a palindrome (117711).

The spelling of 116903808 in words is "one hundred sixteen million, nine hundred three thousand, eight hundred eight".