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25712320 = 265194229
BaseRepresentation
bin110001000010…
…1011011000000
31210101022200011
41202011123000
523040243240
62315034304
7431360014
oct142053300
953338604
1025712320
1113572057
12873b994
1354334ba
1435b4544
1523cd6ea
hex18856c0

25712320 has 56 divisors (see below), whose sum is σ = 64465200. Its totient is φ = 9741312.

The previous prime is 25712311. The next prime is 25712327. The reversal of 25712320 is 2321752.

It is a super-2 number, since 2×257123202 = 1322246799564800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25712291 and 25712300.

It is not an unprimeable number, because it can be changed into a prime (25712327) 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, 3966 + ... + 8194.

Almost surely, 225712320 is an apocalyptic number.

25712320 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 25712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32232600).

25712320 is an abundant number, since it is smaller than the sum of its proper divisors (38752880).

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

25712320 is a wasteful number, since it uses less digits than its factorization.

25712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 25712320 is about 5070.7317026244. The cubic root of 25712320 is about 295.1529227248.

The spelling of 25712320 in words is "twenty-five million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 4229 6080 8458 16916 21145 33832 42290 67664 80351 84580 135328 160702 169160 270656 321404 338320 401755 642808 676640 803510 1285616 1353280 1607020 2571232 3214040 5142464 6428080 12856160 25712320