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1680393696 = 253171029653
BaseRepresentation
bin110010000101000…
…1100010111100000
311100002221211210120
41210022030113200
511420140044241
6434424400240
756433052662
oct14412142740
94302854716
101680393696
117925a1723
123aa916080
1320a1a33c7
1411d260532
159c7ce666
hex6428c5e0

1680393696 has 48 divisors (see below), whose sum is σ = 4670510544. Its totient is φ = 527181824.

The previous prime is 1680393647. The next prime is 1680393697. The reversal of 1680393696 is 6963930861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680393697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513195 + ... + 516458.

It is an arithmetic number, because the mean of its divisors is an integer number (97302303).

Almost surely, 21680393696 is an apocalyptic number.

1680393696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1680393696 is an abundant number, since it is smaller than the sum of its proper divisors (2990116848).

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

1680393696 is a wasteful number, since it uses less digits than its factorization.

1680393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029683 (or 1029675 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The square root of 1680393696 is about 40992.6053819466. The cubic root of 1680393696 is about 1188.8772443433.

The spelling of 1680393696 in words is "one billion, six hundred eighty million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1029653 2059306 3088959 4118612 6177918 8237224 12355836 16474448 17504101 24711672 32948896 35008202 49423344 52512303 70016404 98846688 105024606 140032808 210049212 280065616 420098424 560131232 840196848 1680393696