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25320000 = 26354211
BaseRepresentation
bin110000010010…
…1101001000000
31202122101111210
41200211221000
522440220000
62302410120
7425134146
oct140455100
952571453
1025320000
1113324322
128590940
135326a64
143511596
152352350
hex1825a40

25320000 has 140 divisors (see below), whose sum is σ = 84110576. Its totient is φ = 6720000.

The previous prime is 25319971. The next prime is 25320011. The reversal of 25320000 is 2352.

It is a super-2 number, since 2×253200002 = 1282204800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119895 + ... + 120105.

Almost surely, 225320000 is an apocalyptic number.

25320000 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 25320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42055288).

25320000 is an abundant number, since it is smaller than the sum of its proper divisors (58790576).

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

25320000 is an equidigital number, since it uses as much as digits as its factorization.

25320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 25320000 is about 5031.8982501636. The cubic root of 25320000 is about 293.6440692436.

Adding to 25320000 its reverse (2352), we get a palindrome (25322352).

It can be divided in two parts, 25 and 320000, that multiplied together give a cube (8000000 = 2003).

The spelling of 25320000 in words is "twenty-five million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 211 240 250 300 320 375 400 422 480 500 600 625 633 750 800 844 960 1000 1055 1200 1250 1266 1500 1600 1688 1875 2000 2110 2400 2500 2532 3000 3165 3376 3750 4000 4220 4800 5000 5064 5275 6000 6330 6752 7500 8000 8440 10000 10128 10550 12000 12660 13504 15000 15825 16880 20000 20256 21100 24000 25320 26375 30000 31650 33760 40000 40512 42200 50640 52750 60000 63300 67520 79125 84400 101280 105500 120000 126600 131875 158250 168800 202560 211000 253200 263750 316500 337600 395625 422000 506400 527500 633000 791250 844000 1012800 1055000 1266000 1582500 1688000 2110000 2532000 3165000 4220000 5064000 6330000 8440000 12660000 25320000