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25542660 = 223511132229
BaseRepresentation
bin110000101110…
…0000000000100
31210001200221110
41201130000010
523014331120
62311245020
7430052253
oct141340004
953050843
1025542660
1113466640
128679770
1353a4200
14356c79a
1523982e0
hex185c004

25542660 has 144 divisors (see below), whose sum is σ = 84853440. Its totient is φ = 5690880.

The previous prime is 25542641. The next prime is 25542677. The reversal of 25542660 is 6624552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111426 + ... + 111654.

It is an arithmetic number, because the mean of its divisors is an integer number (589260).

Almost surely, 225542660 is an apocalyptic number.

25542660 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 25542660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42426720).

25542660 is an abundant number, since it is smaller than the sum of its proper divisors (59310780).

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

25542660 is a wasteful number, since it uses less digits than its factorization.

25542660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 25542660 is about 5053.9746734625. The cubic root of 25542660 is about 294.5023112669.

The spelling of 25542660 in words is "twenty-five million, five hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 229 260 286 330 338 390 429 458 507 572 660 676 687 715 780 845 858 916 1014 1145 1374 1430 1690 1716 1859 2028 2145 2290 2519 2535 2748 2860 2977 3380 3435 3718 4290 4580 5038 5070 5577 5954 6870 7436 7557 8580 8931 9295 10076 10140 11154 11908 12595 13740 14885 15114 17862 18590 22308 25190 27885 29770 30228 32747 35724 37180 37785 38701 44655 50380 55770 59540 65494 75570 77402 89310 98241 111540 116103 130988 151140 154804 163735 178620 193505 196482 232206 327470 387010 392964 425711 464412 491205 580515 654940 774020 851422 982410 1161030 1277133 1702844 1964820 2128555 2322060 2554266 4257110 5108532 6385665 8514220 12771330 25542660