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25930880 = 275311307
BaseRepresentation
bin110001011101…
…0110010000000
31210210102110222
41202322302000
523114242010
62323442212
7433260143
oct142726200
953712428
1025930880
1113701288
128826368
1354abb21
14363005a
152423355
hex18bac80

25930880 has 64 divisors (see below), whose sum is σ = 64039680. Its totient is φ = 10030080.

The previous prime is 25930873. The next prime is 25930889. The reversal of 25930880 is 8803952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 25930880.

It is not an unprimeable number, because it can be changed into a prime (25930889) 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, 19187 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (1000620).

Almost surely, 225930880 is an apocalyptic number.

25930880 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 25930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019840).

25930880 is an abundant number, since it is smaller than the sum of its proper divisors (38108800).

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

25930880 is a wasteful number, since it uses less digits than its factorization.

25930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 25930880 is about 5092.2372293521. The cubic root of 25930880 is about 295.9868511325.

The spelling of 25930880 in words is "twenty-five million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1307 1984 2480 2614 3968 4960 5228 6535 9920 10456 13070 19840 20912 26140 40517 41824 52280 81034 83648 104560 162068 167296 202585 209120 324136 405170 418240 648272 810340 836480 1296544 1620680 2593088 3241360 5186176 6482720 12965440 25930880