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25002380 = 225132337113
BaseRepresentation
bin101111101100…
…0000110001100
31202001020211002
41133120012030
522400034010
62251515432
7422342144
oct137300614
952036732
1025002380
1113127727
128458b78
135245310
14346b924
1522dd1a5
hex17d818c

25002380 has 96 divisors (see below), whose sum is σ = 61133184. Its totient is φ = 8515584.

The previous prime is 25002317. The next prime is 25002389. The reversal of 25002380 is 8320052.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (25002389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221204 + ... + 221316.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 225002380 is an apocalyptic number.

25002380 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 25002380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566592).

25002380 is an abundant number, since it is smaller than the sum of its proper divisors (36130804).

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

25002380 is a wasteful number, since it uses less digits than its factorization.

25002380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25002380 is about 5000.2379943359. The cubic root of 25002380 is about 292.4110524098.

The spelling of 25002380 in words is "twenty-five million, two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 23 26 37 46 52 65 74 92 113 115 130 148 185 226 230 260 299 370 452 460 481 565 598 740 851 962 1130 1196 1469 1495 1702 1924 2260 2405 2599 2938 2990 3404 4181 4255 4810 5198 5876 5980 7345 8362 8510 9620 10396 11063 12995 14690 16724 17020 20905 22126 25990 29380 33787 41810 44252 51980 54353 55315 67574 83620 96163 108706 110630 135148 168935 192326 217412 221260 271765 337870 384652 480815 543530 675740 961630 1087060 1250119 1923260 2500238 5000476 6250595 12501190 25002380