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676952640 = 26345721341
BaseRepresentation
bin101000010110010…
…111101001000000
31202011210202110000
4220112113221000
52341244441030
6151101240000
722530000600
oct5026275100
91664722400
10676952640
113181385a1
1216a863000
13aa32cbc0
1465c98c00
153e66d860
hex28597a40

676952640 has 840 divisors, whose sum is σ = 3090242232. Its totient is φ = 139345920.

The previous prime is 676952567. The next prime is 676952651. The reversal of 676952640 is 46259676.

676952640 is a `hidden beast` number, since 67 + 69 + 526 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 660695616 = 4032^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16511020 + ... + 16511060.

Almost surely, 2676952640 is an apocalyptic number.

676952640 is a gapful number since it is divisible by the number (60) 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 676952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545121116).

676952640 is an abundant number, since it is smaller than the sum of its proper divisors (2413289592).

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

676952640 is a wasteful number, since it uses less digits than its factorization.

676952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 676952640 is about 26018.3135502669. The cubic root of 676952640 is about 878.0503669890.

The spelling of 676952640 in words is "six hundred seventy-six million, nine hundred fifty-two thousand, six hundred forty".