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803130756 = 2232917912893
BaseRepresentation
bin101111110111101…
…100110110000100
32001222020021021120
4233313230312010
53121100141011
6211405513540
725621333041
oct5767546604
92058207246
10803130756
1138238a02a
121a4b728b0
13ca50abcc
14789421c8
154a794a06
hex2fdecd84

803130756 has 48 divisors (see below), whose sum is σ = 1949572800. Its totient is φ = 257014912.

The previous prime is 803130751. The next prime is 803130761. The reversal of 803130756 is 657031308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (803130751) and next prime (803130761).

It is a super-2 number, since 2×8031307562 = 1290038022466263072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (803130751) 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, 55846 + ... + 68738.

It is an arithmetic number, because the mean of its divisors is an integer number (40616100).

Almost surely, 2803130756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803130756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974786400).

803130756 is an abundant number, since it is smaller than the sum of its proper divisors (1146442044).

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

803130756 is a wasteful number, since it uses less digits than its factorization.

803130756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 803130756 is about 28339.5616762151. The cubic root of 803130756 is about 929.5271639629.

The spelling of 803130756 in words is "eight hundred three million, one hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 179 348 358 537 716 1074 2148 5191 10382 12893 15573 20764 25786 31146 38679 51572 62292 77358 154716 373897 747794 1121691 1495588 2243382 2307847 4486764 4615694 6923541 9231388 13847082 27694164 66927563 133855126 200782689 267710252 401565378 803130756