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1107713880 = 233457132172
BaseRepresentation
bin100001000000110…
…0101111101011000
32212012100200210000
41002001211331120
54232033321010
6301530053000
736310261350
oct10201457530
92765320700
101107713880
11519303919
1226ab7a160
13148651b00
14a7189b60
15673ab7c0
hex42065f58

1107713880 has 720 divisors, whose sum is σ = 4894488720. Its totient is φ = 219967488.

The previous prime is 1107713857. The next prime is 1107713903. The reversal of 1107713880 is 883177011.

It is an interprime number because it is at equal distance from previous prime (1107713857) and next prime (1107713903).

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 179 ways as a sum of consecutive naturals, for example, 65159632 + ... + 65159648.

It is an arithmetic number, because the mean of its divisors is an integer number (6797901).

Almost surely, 21107713880 is an apocalyptic number.

1107713880 is a gapful number since it is divisible by the number (10) 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 1107713880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447244360).

1107713880 is an abundant number, since it is smaller than the sum of its proper divisors (3786774840).

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

1107713880 is a wasteful number, since it uses less digits than its factorization.

1107713880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 1107713880 is about 33282.3358555255. The cubic root of 1107713880 is about 1034.6874922924.

The spelling of 1107713880 in words is "one billion, one hundred seven million, seven hundred thirteen thousand, eight hundred eighty".