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25123980 = 22357411459
BaseRepresentation
bin101111111010…
…1110010001100
31202021102121210
41133311302030
522412431410
62254254420
7423356520
oct137656214
952242553
1025123980
1113200022
1284b7410
13528877b
14349dd80
152314220
hex17f5c8c

25123980 has 96 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 5598720.

The previous prime is 25123957. The next prime is 25123993. The reversal of 25123980 is 8932152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16491 + ... + 17949.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 225123980 is an apocalyptic number.

25123980 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 25123980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

25123980 is an abundant number, since it is smaller than the sum of its proper divisors (57290100).

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

25123980 is a wasteful number, since it uses less digits than its factorization.

25123980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25123980 is about 5012.3826669559. The cubic root of 25123980 is about 292.8843366153.

The spelling of 25123980 in words is "twenty-five million, one hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1459 1722 2460 2870 2918 3444 4305 4377 5740 5836 7295 8610 8754 10213 14590 17220 17508 20426 21885 29180 30639 40852 43770 51065 59819 61278 87540 102130 119638 122556 153195 179457 204260 239276 299095 306390 358914 418733 598190 612780 717828 837466 897285 1196380 1256199 1674932 1794570 2093665 2512398 3589140 4187330 5024796 6280995 8374660 12561990 25123980