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1089527040 = 28325759229
BaseRepresentation
bin100000011110000…
…1101110100000000
32210221010201010100
41000330031310000
54212404331130
6300040202400
735666553450
oct10074156400
92727121110
101089527040
1150a011878
12264a69400
13144954a74
14a49b3d60
15659b7c60
hex40f0dd00

1089527040 has 432 divisors, whose sum is σ = 4400323200. Its totient is φ = 243744768.

The previous prime is 1089527017. The next prime is 1089527081. The reversal of 1089527040 is 407259801.

1089527040 is a `hidden beast` number, since 10 + 89 + 527 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1089526986 and 1089527004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4757646 + ... + 4757874.

Almost surely, 21089527040 is an apocalyptic number.

1089527040 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 1089527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200161600).

1089527040 is an abundant number, since it is smaller than the sum of its proper divisors (3310796160).

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

1089527040 is a wasteful number, since it uses less digits than its factorization.

1089527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1089527040 is about 33007.9844886052. The cubic root of 1089527040 is about 1028.9935938992.

The spelling of 1089527040 in words is "one billion, eighty-nine million, five hundred twenty-seven thousand, forty".