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1676960496 = 243529107139
BaseRepresentation
bin110001111110100…
…0110001011110000
311022212111102100000
41203331012023300
511413300213441
6434223030000
756361633441
oct14375061360
94285442300
101676960496
11790667272
123a973b300
13209570823
1411ca092c8
159c3522b6
hex63f462f0

1676960496 has 240 divisors, whose sum is σ = 5118422400. Its totient is φ = 530820864.

The previous prime is 1676960477. The next prime is 1676960503. The reversal of 1676960496 is 6940696761.

1676960496 is a `hidden beast` number, since 1 + 67 + 6 + 96 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 12064395 + ... + 12064533.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 21676960496 is an apocalyptic number.

1676960496 is a gapful number since it is divisible by the number (16) 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 1676960496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559211200).

1676960496 is an abundant number, since it is smaller than the sum of its proper divisors (3441461904).

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

1676960496 is a wasteful number, since it uses less digits than its factorization.

1676960496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 1676960496 is about 40950.7081257455. The cubic root of 1676960496 is about 1188.0670301940.

The spelling of 1676960496 in words is "one billion, six hundred seventy-six million, nine hundred sixty thousand, four hundred ninety-six".