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25676820 = 223251310973
BaseRepresentation
bin110000111110…
…0110000010100
31210022111222100
41201330300110
523033124240
62314202100
7431151351
oct141746024
953274870
1025676820
1113548414
128723330
1354202b0
1435a5628
1523c2e30
hex187cc14

25676820 has 72 divisors (see below), whose sum is σ = 83885256. Its totient is φ = 6319872.

The previous prime is 25676813. The next prime is 25676831. The reversal of 25676820 is 2867652.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 25040016 = 798^2 + 5004^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3147 + ... + 7826.

It is an arithmetic number, because the mean of its divisors is an integer number (1165073).

Almost surely, 225676820 is an apocalyptic number.

25676820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25676820 is an abundant number, since it is smaller than the sum of its proper divisors (58208436).

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

25676820 is a wasteful number, since it uses less digits than its factorization.

25676820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001 (or 10996 counting only the distinct ones).

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

The square root of 25676820 is about 5067.2300125414. The cubic root of 25676820 is about 295.0170247763.

The spelling of 25676820 in words is "twenty-five million, six hundred seventy-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 10973 21946 32919 43892 54865 65838 98757 109730 131676 142649 164595 197514 219460 285298 329190 395028 427947 493785 570596 658380 713245 855894 987570 1283841 1426490 1711788 1975140 2139735 2567682 2852980 4279470 5135364 6419205 8558940 12838410 25676820