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763135040 = 2652384797
BaseRepresentation
bin101101011111001…
…000010001000000
31222011222021110202
4231133020101000
53030330310130
6203420344332
724624353333
oct5537102100
91864867422
10763135040
11361851718
121936a50a8
13c21462c5
14734d061a
1546ee4145
hex2d7c8440

763135040 has 28 divisors (see below), whose sum is σ = 1817216076. Its totient is φ = 305253888.

The previous prime is 763135033. The next prime is 763135063. The reversal of 763135040 is 40531367.

It can be written as a sum of positive squares in 2 ways, for example, as 146506816 + 616628224 = 12104^2 + 24832^2 .

It is a super-3 number, since 3×7631350403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 763134994 and 763135012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1192079 + ... + 1192718.

Almost surely, 2763135040 is an apocalyptic number.

It is an amenable number.

763135040 is an abundant number, since it is smaller than the sum of its proper divisors (1054081036).

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

763135040 is a wasteful number, since it uses less digits than its factorization.

763135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384814 (or 2384804 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 763135040 is about 27624.8989138422. The cubic root of 763135040 is about 913.8336198640.

The spelling of 763135040 in words is "seven hundred sixty-three million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2384797 4769594 9539188 11923985 19078376 23847970 38156752 47695940 76313504 95391880 152627008 190783760 381567520 763135040