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1139087040 = 263571321759
BaseRepresentation
bin100001111100101…
…0001011011000000
32221101101121122220
41003321101123000
54313101241130
6305010331040
740141036320
oct10371213300
92841347586
101139087040
11534a91a53
12279589a80
13151cb7b00
14ab3d5280
156a007410
hex43e516c0

1139087040 has 672 divisors, whose sum is σ = 4819253760. Its totient is φ = 222363648.

The previous prime is 1139087039. The next prime is 1139087041. The reversal of 1139087040 is 407809311.

It is an interprime number because it is at equal distance from previous prime (1139087039) and next prime (1139087041).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1139086992 and 1139087010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139087041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19306531 + ... + 19306589.

Almost surely, 21139087040 is an apocalyptic number.

1139087040 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 1139087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409626880).

1139087040 is an abundant number, since it is smaller than the sum of its proper divisors (3680166720).

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

1139087040 is a wasteful number, since it uses less digits than its factorization.

1139087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1139087040 is about 33750.3635535975. The cubic root of 1139087040 is about 1044.3649873997.

The spelling of 1139087040 in words is "one billion, one hundred thirty-nine million, eighty-seven thousand, forty".