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815063040 = 2133351167
BaseRepresentation
bin110000100101001…
…110000000000000
32002210200111022000
4300211032000000
53132124004130
6212513344000
726124631041
oct6045160000
92083614260
10815063040
11389099a20
121a8b68000
13ccb2812c
147a36a8c8
154b850260
hex3094e000

815063040 has 448 divisors, whose sum is σ = 3208446720. Its totient is φ = 194641920.

The previous prime is 815063027. The next prime is 815063059. The reversal of 815063040 is 40360518.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 815062995 and 815063013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165087 + ... + 12165153.

Almost surely, 2815063040 is an apocalyptic number.

815063040 is a gapful number since it is divisible by the number (80) 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 815063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604223360).

815063040 is an abundant number, since it is smaller than the sum of its proper divisors (2393383680).

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

815063040 is a wasteful number, since it uses less digits than its factorization.

815063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 815063040 is about 28549.3089233347. The cubic root of 815063040 is about 934.1079465068.

The spelling of 815063040 in words is "eight hundred fifteen million, sixty-three thousand, forty".