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1159114660 = 22511343543
BaseRepresentation
bin100010100010110…
…1010111110100100
32222210002010101121
41011011222332210
54333213132120
6311003503324
740503212014
oct10505527644
92883063347
101159114660
11545321000
12284227b44
131561aa982
14add29c44
156bb615aa
hex4516afa4

1159114660 has 48 divisors (see below), whose sum is σ = 2677433472. Its totient is φ = 421486560.

The previous prime is 1159114643. The next prime is 1159114661. The reversal of 1159114660 is 664119511.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1159114661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849 + ... + 48391.

It is an arithmetic number, because the mean of its divisors is an integer number (55779864).

Almost surely, 21159114660 is an apocalyptic number.

1159114660 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 1159114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338716736).

1159114660 is an abundant number, since it is smaller than the sum of its proper divisors (1518318812).

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

1159114660 is a wasteful number, since it uses less digits than its factorization.

1159114660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43585 (or 43561 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1159114660 is about 34045.7730122258. The cubic root of 1159114660 is about 1050.4501954587.

The spelling of 1159114660 in words is "one billion, one hundred fifty-nine million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 13310 26620 43543 87086 174172 217715 435430 478973 870860 957946 1915892 2394865 4789730 5268703 9579460 10537406 21074812 26343515 52687030 57955733 105374060 115911466 231822932 289778665 579557330 1159114660