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763130128 = 2429256713
BaseRepresentation
bin101101011111000…
…111000100010000
31222011222000201211
4231133013010100
53030330131003
6203420305504
724624333115
oct5537070420
91864860654
10763130128
11361848a62
121936a2294
13c2143cb7
14734cc90c
1546ee296d
hex2d7c7110

763130128 has 30 divisors (see below), whose sum is σ = 1531334714. Its totient is φ = 368401152.

The previous prime is 763130113. The next prime is 763130177. The reversal of 763130128 is 821031367.

It can be written as a sum of positive squares in 3 ways, for example, as 177102864 + 586027264 = 13308^2 + 24208^2 .

It is a super-3 number, since 3×7631301283 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 763130128.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14901 + ... + 41812.

Almost surely, 2763130128 is an apocalyptic number.

It is an amenable number.

763130128 is an abundant number, since it is smaller than the sum of its proper divisors (768204586).

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

763130128 is a wasteful number, since it uses less digits than its factorization.

763130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56779 (or 56744 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 763130128 is about 27624.8100083964. The cubic root of 763130128 is about 913.8316591973.

The spelling of 763130128 in words is "seven hundred sixty-three million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 56713 113426 226852 453704 907408 1644677 3289354 6578708 13157416 26314832 47695633 95391266 190782532 381565064 763130128