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25023680 = 265117109
BaseRepresentation
bin101111101110…
…1010011000000
31202002100000222
41133131103000
522401224210
62252202212
7422461223
oct137352300
952070028
1025023680
1113141730
128469368
135251c16
1434755ba
1522e4655
hex17dd4c0

25023680 has 56 divisors (see below), whose sum is σ = 65013840. Its totient is φ = 9098240.

The previous prime is 25023679. The next prime is 25023683. The reversal of 25023680 is 8632052.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25023683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 7074.

Almost surely, 225023680 is an apocalyptic number.

25023680 is a gapful number since it is divisible by the number (20) 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 25023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506920).

25023680 is an abundant number, since it is smaller than the sum of its proper divisors (39990160).

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

25023680 is a wasteful number, since it uses less digits than its factorization.

25023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 25023680 is about 5002.3674395230. The cubic root of 25023680 is about 292.4940656745.

The spelling of 25023680 in words is "twenty-five million, twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 7109 14218 28436 35545 56872 71090 78199 113744 142180 156398 227488 284360 312796 390995 454976 568720 625592 781990 1137440 1251184 1563980 2274880 2502368 3127960 5004736 6255920 12511840 25023680