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25680060 = 22325789229
BaseRepresentation
bin110000111110…
…1100010111100
31210022200102100
41201331202330
523033230220
62314225100
7431163660
oct141754274
953280370
1025680060
111354a89a
128725190
135421903
1435a68a0
1523c3d90
hex187d8bc

25680060 has 144 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 5778432.

The previous prime is 25680049. The next prime is 25680079. The reversal of 25680060 is 6008652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112026 + ... + 112254.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 225680060 is an apocalyptic number.

25680060 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 25680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

25680060 is an abundant number, since it is smaller than the sum of its proper divisors (64737540).

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

25680060 is a wasteful number, since it uses less digits than its factorization.

25680060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 25680060 is about 5067.5497037523. The cubic root of 25680060 is about 295.0294330491.

The spelling of 25680060 in words is "twenty-five million, six hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 229 252 267 315 356 420 445 458 534 623 630 687 801 890 916 1068 1145 1246 1260 1335 1374 1602 1603 1780 1869 2061 2290 2492 2670 2748 3115 3204 3206 3435 3738 4005 4122 4580 4809 5340 5607 6230 6412 6870 7476 8010 8015 8244 9345 9618 10305 11214 12460 13740 14427 16020 16030 18690 19236 20381 20610 22428 24045 28035 28854 32060 37380 40762 41220 48090 56070 57708 61143 72135 81524 96180 101905 112140 122286 142667 144270 183429 203810 244572 285334 288540 305715 366858 407620 428001 570668 611430 713335 733716 856002 917145 1222860 1284003 1426670 1712004 1834290 2140005 2568006 2853340 3668580 4280010 5136012 6420015 8560020 12840030 25680060