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1670647680 = 27345133767
BaseRepresentation
bin110001110010100…
…0000111110000000
311022102121200210000
41203211000332000
511410141211210
6433435440000
756254161642
oct14345007600
94272550700
101670647680
11788045369
123a75b6000
13208170330
1411bc44892
159ba06ac0
hex63940f80

1670647680 has 640 divisors, whose sum is σ = 6697262880. Its totient is φ = 394149888.

The previous prime is 1670647669. The next prime is 1670647721. The reversal of 1670647680 is 867460761.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24935007 + ... + 24935073.

Almost surely, 21670647680 is an apocalyptic number.

1670647680 is a gapful number since it is divisible by the number (10) 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 1670647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348631440).

1670647680 is an abundant number, since it is smaller than the sum of its proper divisors (5026615200).

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

1670647680 is a wasteful number, since it uses less digits than its factorization.

1670647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1670647680 is about 40873.5572222433. The cubic root of 1670647680 is about 1186.5743535198.

The spelling of 1670647680 in words is "one billion, six hundred seventy million, six hundred forty-seven thousand, six hundred eighty".