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25704420 = 2235731249
BaseRepresentation
bin110001000001…
…1011111100100
31210100220211120
41202003133210
523040020140
62314533540
7431325000
oct142033744
953326746
1025704420
1113567125
1287372b0
13542ca21
1435b1700
1523cb1d0
hex18837e4

25704420 has 96 divisors (see below), whose sum is σ = 84000000. Its totient is φ = 5870592.

The previous prime is 25704407. The next prime is 25704431. The reversal of 25704420 is 2440752.

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, 19956 + ... + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (875000).

Almost surely, 225704420 is an apocalyptic number.

25704420 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 25704420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000000).

25704420 is an abundant number, since it is smaller than the sum of its proper divisors (58295580).

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

25704420 is a wasteful number, since it uses less digits than its factorization.

25704420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 25704420 is about 5069.9526625009. The cubic root of 25704420 is about 295.1226914721.

The spelling of 25704420 in words is "twenty-five million, seven hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1249 1372 1470 1715 2058 2498 2940 3430 3747 4116 4996 5145 6245 6860 7494 8743 10290 12490 14988 17486 18735 20580 24980 26229 34972 37470 43715 52458 61201 74940 87430 104916 122402 131145 174860 183603 244804 262290 306005 367206 428407 524580 612010 734412 856814 918015 1224020 1285221 1713628 1836030 2142035 2570442 3672060 4284070 5140884 6426105 8568140 12852210 25704420