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876696240 = 243572127587
BaseRepresentation
bin110100010000010…
…101001010110000
32021002122210011010
4310100111022300
53243413234430
6222554350520
730503536500
oct6420251260
92232583133
10876696240
1140a965952
1220572b440
1310c827594
1484611a00
1551e76cb0
hex344152b0

876696240 has 240 divisors, whose sum is σ = 3191795712. Its totient is φ = 198471168.

The previous prime is 876696229. The next prime is 876696257. The reversal of 876696240 is 42696678.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 876696240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493227 + ... + 1493813.

Almost surely, 2876696240 is an apocalyptic number.

876696240 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 876696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595897856).

876696240 is an abundant number, since it is smaller than the sum of its proper divisors (2315099472).

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

876696240 is a wasteful number, since it uses less digits than its factorization.

876696240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 876696240 is about 29609.0567225638. The cubic root of 876696240 is about 957.0832477489.

The spelling of 876696240 in words is "eight hundred seventy-six million, six hundred ninety-six thousand, two hundred forty".