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676131840 = 2103356773
BaseRepresentation
bin101000010011001…
…111010000000000
31202010021001112000
4220103033100000
52341042204330
6151031504000
722520011566
oct5023172000
91663231460
10676131840
1131772794a
1216a528000
13aa103417
1465b23a36
153e55a560
hex284cf400

676131840 has 352 divisors, whose sum is σ = 2472120960. Its totient is φ = 175177728.

The previous prime is 676131817. The next prime is 676131899. The reversal of 676131840 is 48131676.

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 = 676131795 and 676131804.

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, 9262044 + ... + 9262116.

Almost surely, 2676131840 is an apocalyptic number.

676131840 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 676131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236060480).

676131840 is an abundant number, since it is smaller than the sum of its proper divisors (1795989120).

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

676131840 is a wasteful number, since it uses less digits than its factorization.

676131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 676131840 is about 26002.5352610087. The cubic root of 676131840 is about 877.6953469686.

The spelling of 676131840 in words is "six hundred seventy-six million, one hundred thirty-one thousand, eight hundred forty".