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25672680 = 23335112161
BaseRepresentation
bin110000111101…
…1101111101000
31210022022022000
41201323233220
523033011210
62314131000
7431133315
oct141735750
953268260
1025672680
11135452a0
128720a60
13541b447
1435a3d0c
1523c1ac0
hex187bbe8

25672680 has 128 divisors (see below), whose sum is σ = 93398400. Its totient is φ = 6220800.

The previous prime is 25672657. The next prime is 25672693. The reversal of 25672680 is 8627652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10800 + ... + 12960.

It is an arithmetic number, because the mean of its divisors is an integer number (729675).

Almost surely, 225672680 is an apocalyptic number.

25672680 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 25672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46699200).

25672680 is an abundant number, since it is smaller than the sum of its proper divisors (67725720).

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

25672680 is a wasteful number, since it uses less digits than its factorization.

25672680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 25672680 is about 5066.8214888626. The cubic root of 25672680 is about 295.0011682420.

The spelling of 25672680 in words is "twenty-five million, six hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2161 2376 2970 3960 4322 5940 6483 8644 10805 11880 12966 17288 19449 21610 23771 25932 32415 38898 43220 47542 51864 58347 64830 71313 77796 86440 95084 97245 116694 118855 129660 142626 155592 190168 194490 213939 233388 237710 259320 285252 291735 356565 388980 427878 466776 475420 570504 583470 641817 713130 777960 855756 950840 1069695 1166940 1283634 1426260 1711512 2139390 2333880 2567268 2852520 3209085 4278780 5134536 6418170 8557560 12836340 25672680