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1139328480 = 253571101331
BaseRepresentation
bin100001111101000…
…1100010111100000
32221101211212212010
41003322030113200
54313132002410
6305015432520
740143063243
oct10372142740
92841755763
101139328480
11535137394
12279685740
13152070984
14ab45925a
156a053c20
hex43e8c5e0

1139328480 has 192 divisors, whose sum is σ = 3686570496. Its totient is φ = 295680000.

The previous prime is 1139328469. The next prime is 1139328497. The reversal of 1139328480 is 848239311.

It is a super-2 number, since 2×11393284802 = 2596138770678220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441915 + ... + 3442245.

It is an arithmetic number, because the mean of its divisors is an integer number (19200888).

Almost surely, 21139328480 is an apocalyptic number.

1139328480 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 1139328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843285248).

1139328480 is an abundant number, since it is smaller than the sum of its proper divisors (2547242016).

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

1139328480 is a wasteful number, since it uses less digits than its factorization.

1139328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1139328480 is about 33753.9402144402. The cubic root of 1139328480 is about 1044.4387697829.

The spelling of 1139328480 in words is "one billion, one hundred thirty-nine million, three hundred twenty-eight thousand, four hundred eighty".