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1087470720 = 27325723853
BaseRepresentation
bin100000011010001…
…0111110010000000
32210210021020101100
41000310113302000
54211343030340
6255524134400
735643230400
oct10064276200
92723236340
101087470720
11508937936
12264237400
131443b4acb
14a45da800
156570d830
hex40d17c80

1087470720 has 288 divisors, whose sum is σ = 4369395420. Its totient is φ = 248500224.

The previous prime is 1087470701. The next prime is 1087470733. The reversal of 1087470720 is 270747801.

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 79281216 = 31752^2 + 8904^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280314 + ... + 284166.

Almost surely, 21087470720 is an apocalyptic number.

1087470720 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 1087470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184697710).

1087470720 is an abundant number, since it is smaller than the sum of its proper divisors (3281924700).

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

1087470720 is a wasteful number, since it uses less digits than its factorization.

1087470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1087470720 is about 32976.8209504797. The cubic root of 1087470720 is about 1028.3458288290.

The spelling of 1087470720 in words is "one billion, eighty-seven million, four hundred seventy thousand, seven hundred twenty".