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115076808 = 233371121737
BaseRepresentation
bin1101101101111…
…10111011001000
322000112111201000
412312332323020
5213424424213
615230255000
72565064620
oct666767310
9260474630
10115076808
1159a59a00
1232657460
131aac20b2
14113d7880
15a181c73
hex6dbeec8

115076808 has 384 divisors, whose sum is σ = 436665600. Its totient is φ = 27371520.

The previous prime is 115076803. The next prime is 115076813. The reversal of 115076808 is 808670511.

It is an interprime number because it is at equal distance from previous prime (115076803) and next prime (115076813).

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

It is not an unprimeable number, because it can be changed into a prime (115076803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3110166 + ... + 3110202.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 2115076808 is an apocalyptic number.

115076808 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 115076808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218332800).

115076808 is an abundant number, since it is smaller than the sum of its proper divisors (321588792).

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

115076808 is a wasteful number, since it uses less digits than its factorization.

115076808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 115076808 is about 10727.3858884632. The cubic root of 115076808 is about 486.4026536566.

The spelling of 115076808 in words is "one hundred fifteen million, seventy-six thousand, eight hundred eight".