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25970880 = 2635132081
BaseRepresentation
bin110001100010…
…0100011000000
31210212110100110
41203010203000
523122032010
62324351320
7433514565
oct143044300
953773313
1025970880
1113729341
128845540
1354c40b0
14364086c
152430120
hex18c48c0

25970880 has 112 divisors (see below), whose sum is σ = 88843104. Its totient is φ = 6389760.

The previous prime is 25970873. The next prime is 25970897. The reversal of 25970880 is 8807952.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11440 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (793242).

Almost surely, 225970880 is an apocalyptic number.

25970880 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 25970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421552).

25970880 is an abundant number, since it is smaller than the sum of its proper divisors (62872224).

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

25970880 is a wasteful number, since it uses less digits than its factorization.

25970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 25970880 is about 5096.1632626909. The cubic root of 25970880 is about 296.1389656712.

The spelling of 25970880 in words is "twenty-five million, nine hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2081 2496 3120 4160 4162 6240 6243 8324 10405 12480 12486 16648 20810 24972 27053 31215 33296 41620 49944 54106 62430 66592 81159 83240 99888 108212 124860 133184 135265 162318 166480 199776 216424 249720 270530 324636 332960 399552 405795 432848 499440 541060 649272 665920 811590 865696 998880 1082120 1298544 1623180 1731392 1997760 2164240 2597088 3246360 4328480 5194176 6492720 8656960 12985440 25970880