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25230920 = 23511213401
BaseRepresentation
bin110000000111…
…1111001001000
31202110212022112
41200033321020
522424342140
62300441452
7424313351
oct140177110
952425275
1025230920
1113273400
128549288
1352c5350
1434cad28
152335c65
hex180fe48

25230920 has 96 divisors (see below), whose sum is σ = 67367160. Its totient is φ = 8448000.

The previous prime is 25230901. The next prime is 25230967. The reversal of 25230920 is 2903252.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 2439844 = 4774^2 + 1562^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62720 + ... + 63120.

Almost surely, 225230920 is an apocalyptic number.

25230920 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 25230920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33683580).

25230920 is an abundant number, since it is smaller than the sum of its proper divisors (42136240).

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

25230920 is a wasteful number, since it uses less digits than its factorization.

25230920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 25230920 is about 5023.0389208128. The cubic root of 25230920 is about 293.2993016074.

The spelling of 25230920 in words is "twenty-five million, two hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 401 440 484 520 572 605 715 802 968 1144 1210 1430 1573 1604 2005 2420 2860 3146 3208 4010 4411 4840 5213 5720 6292 7865 8020 8822 10426 12584 15730 16040 17644 20852 22055 26065 31460 35288 41704 44110 48521 52130 57343 62920 88220 97042 104260 114686 176440 194084 208520 229372 242605 286715 388168 458744 485210 573430 630773 970420 1146860 1261546 1940840 2293720 2523092 3153865 5046184 6307730 12615460 25230920