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15680080 = 2451315077
BaseRepresentation
bin111011110100…
…001001010000
31002111122000201
4323310021100
513003230310
61320024544
7250164343
oct73641120
932448021
1015680080
11893a749
125302154
133330070
14212245a
15159ae3a
hexef4250

15680080 has 40 divisors (see below), whose sum is σ = 39263112. Its totient is φ = 5789184.

The previous prime is 15680059. The next prime is 15680087. The reversal of 15680080 is 8008651.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 15178816 = 708^2 + 3896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15680087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6499 + ... + 8578.

Almost surely, 215680080 is an apocalyptic number.

15680080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15680080 is an abundant number, since it is smaller than the sum of its proper divisors (23583032).

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

15680080 is a wasteful number, since it uses less digits than its factorization.

15680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15103 (or 15097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 15680080 is about 3959.8080761572. The cubic root of 15680080 is about 250.2934154947.

The spelling of 15680080 in words is "fifteen million, six hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 15077 30154 60308 75385 120616 150770 196001 241232 301540 392002 603080 784004 980005 1206160 1568008 1960010 3136016 3920020 7840040 15680080