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1139039440 = 2457111773149
BaseRepresentation
bin100001111100100…
…0101110011010000
32221101022012100221
41003321011303100
54313043230230
6305005322424
740140450460
oct10371056320
92841265327
101139039440
11534a5a210
12279566414
13151c9c246
14ab3c1ba0
1569ee827a
hex43e45cd0

1139039440 has 320 divisors, whose sum is σ = 3567628800. Its totient is φ = 327352320.

The previous prime is 1139039431. The next prime is 1139039453. The reversal of 1139039440 is 449309311.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1139039396 and 1139039405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7644486 + ... + 7644634.

It is an arithmetic number, because the mean of its divisors is an integer number (11148840).

Almost surely, 21139039440 is an apocalyptic number.

1139039440 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 1139039440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783814400).

1139039440 is an abundant number, since it is smaller than the sum of its proper divisors (2428589360).

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

1139039440 is a wasteful number, since it uses less digits than its factorization.

1139039440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1139039440 is about 33749.6583686413. The cubic root of 1139039440 is about 1044.3504399408.

The spelling of 1139039440 in words is "one billion, one hundred thirty-nine million, thirty-nine thousand, four hundred forty".