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10925680 = 245413331
BaseRepresentation
bin101001101011…
…011001110000
3202120002012211
4221223121300
510244110210
61030101504
7161603203
oct51533160
922502184
1010925680
116192697
1237aa894
132356ccc
14164593a
15e5c38a
hexa6b670

10925680 has 40 divisors (see below), whose sum is σ = 26029584. Its totient is φ = 4262400.

The previous prime is 10925659. The next prime is 10925687. The reversal of 10925680 is 8652901.

10925680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10925687) 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, 1615 + ... + 4945.

Almost surely, 210925680 is an apocalyptic number.

10925680 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 10925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014792).

10925680 is an abundant number, since it is smaller than the sum of its proper divisors (15103904).

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

10925680 is a wasteful number, since it uses less digits than its factorization.

10925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10925680 is about 3305.4016397406. The cubic root of 10925680 is about 221.8960095162.

The spelling of 10925680 in words is "ten million, nine hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3331 6662 13324 16655 26648 33310 53296 66620 133240 136571 266480 273142 546284 682855 1092568 1365710 2185136 2731420 5462840 10925680