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3113890560 = 28335118191
BaseRepresentation
bin1011100110011010…
…0011001100000000
322001000100000211000
42321212203030000
522334123444220
61232553252000
7140110430064
oct27146431400
98030300730
103113890560
11135878a080
1272aa04000
133a817c6c1
142177b1aa4
1513358e390
hexb99a3300

3113890560 has 288 divisors, whose sum is σ = 12056002560. Its totient is φ = 754790400.

The previous prime is 3113890553. The next prime is 3113890579. The reversal of 3113890560 is 650983113.

It is a happy number.

3113890560 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 8 + 90 + 560 = 666.

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

It is a super-2 number, since 2×31138905602 = 19392628839314227200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 376065 + ... + 384255.

It is an arithmetic number, because the mean of its divisors is an integer number (41861120).

Almost surely, 23113890560 is an apocalyptic number.

3113890560 is a gapful number since it is divisible by the number (30) 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 3113890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028001280).

3113890560 is an abundant number, since it is smaller than the sum of its proper divisors (8942112000).

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

3113890560 is a wasteful number, since it uses less digits than its factorization.

3113890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3113890560 is about 55802.2451161241. The cubic root of 3113890560 is about 1460.2743213822.

The spelling of 3113890560 in words is "three billion, one hundred thirteen million, eight hundred ninety thousand, five hundred sixty".