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1089920520 = 2332513463503
BaseRepresentation
bin100000011110110…
…1101111000001000
32210221212200212200
41000331231320020
54213004424040
6300052440200
736003112563
oct10075557010
92727780780
101089920520
1150a260467
12265019060
13144a61bb0
14a4a774da
1565a44630
hex40f6de08

1089920520 has 192 divisors, whose sum is σ = 3830561280. Its totient is φ = 267176448.

The previous prime is 1089920509. The next prime is 1089920521. The reversal of 1089920520 is 250299801.

1089920520 is a `hidden beast` number, since 108 + 9 + 9 + 20 + 520 = 666.

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 (1089920521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2166589 + ... + 2167091.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 21089920520 is an apocalyptic number.

1089920520 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 1089920520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915280640).

1089920520 is an abundant number, since it is smaller than the sum of its proper divisors (2740640760).

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

1089920520 is a wasteful number, since it uses less digits than its factorization.

1089920520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1089920520 is about 33013.9443266024. The cubic root of 1089920520 is about 1029.1174518218.

The spelling of 1089920520 in words is "one billion, eighty-nine million, nine hundred twenty thousand, five hundred twenty".