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1163000480 = 25533721569
BaseRepresentation
bin100010101010001…
…1111101010100000
310000001101112201212
41011110133222200
54340212003410
6311223045252
740551224645
oct10524375240
93001345655
101163000480
11547535524
122855a0828
13156c3b585
14b065bdcc
156c17cb05
hex4551faa0

1163000480 has 48 divisors (see below), whose sum is σ = 2755869480. Its totient is φ = 463798272.

The previous prime is 1163000479. The next prime is 1163000491. The reversal of 1163000480 is 840003611.

It can be written as a sum of positive squares in 4 ways, for example, as 456078736 + 706921744 = 21356^2 + 26588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43136 + ... + 64704.

Almost surely, 21163000480 is an apocalyptic number.

1163000480 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 1163000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377934740).

1163000480 is an abundant number, since it is smaller than the sum of its proper divisors (1592869000).

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

1163000480 is a wasteful number, since it uses less digits than its factorization.

1163000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21921 (or 21913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1163000480 is about 34102.7928475074. The cubic root of 1163000480 is about 1051.6227304540.

The spelling of 1163000480 in words is "one billion, one hundred sixty-three million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 10784 13480 21569 26960 43138 53920 86276 107845 172552 215690 345104 431380 690208 862760 1725520 3451040 7268753 14537506 29075012 36343765 58150024 72687530 116300048 145375060 232600096 290750120 581500240 1163000480