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2876030640 = 243257737817
BaseRepresentation
bin1010101101101100…
…1011111010110000
321102102202111100100
42223123023322300
521342230440030
61153215152400
7131161566660
oct25333137260
97372674310
102876030640
11124649842a
12683215700
1336aaca9a2
141d3d761a0
1511c757360
hexab6cbeb0

2876030640 has 240 divisors, whose sum is σ = 11191123008. Its totient is φ = 648290304.

The previous prime is 2876030603. The next prime is 2876030693. The reversal of 2876030640 is 460306782.

2876030640 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 0 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2876030595 and 2876030604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364012 + ... + 371828.

Almost surely, 22876030640 is an apocalyptic number.

2876030640 is a gapful number since it is divisible by the number (20) 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 2876030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595561504).

2876030640 is an abundant number, since it is smaller than the sum of its proper divisors (8315092368).

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

2876030640 is a wasteful number, since it uses less digits than its factorization.

2876030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2876030640 is about 53628.6363802027. The cubic root of 2876030640 is about 1422.1033828472.

The spelling of 2876030640 in words is "two billion, eight hundred seventy-six million, thirty thousand, six hundred forty".