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25714320 = 2435307349
BaseRepresentation
bin110001000010…
…1111010010000
31210101102102020
41202011322100
523040324240
62315051440
7431365602
oct142057220
953342366
1025714320
1113573605
128740b80
135434398
1435b5172
1523ce0d0
hex1885e90

25714320 has 80 divisors (see below), whose sum is σ = 80203200. Its totient is φ = 6815232.

The previous prime is 25714309. The next prime is 25714327. The reversal of 25714320 is 2341752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×257143202 = 1322452506124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25714327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73506 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 225714320 is an apocalyptic number.

25714320 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 25714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40101600).

25714320 is an abundant number, since it is smaller than the sum of its proper divisors (54488880).

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

25714320 is a wasteful number, since it uses less digits than its factorization.

25714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 25714320 is about 5070.9289089870. The cubic root of 25714320 is about 295.1605752242.

The spelling of 25714320 in words is "twenty-five million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 349 614 698 921 1047 1228 1396 1535 1745 1842 2094 2456 2792 3070 3490 3684 4188 4605 4912 5235 5584 6140 6980 7368 8376 9210 10470 12280 13960 14736 16752 18420 20940 24560 27920 36840 41880 73680 83760 107143 214286 321429 428572 535715 642858 857144 1071430 1285716 1607145 1714288 2142860 2571432 3214290 4285720 5142864 6428580 8571440 12857160 25714320