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25934940 = 22325149967
BaseRepresentation
bin110001011101…
…1110001011100
31210210122001100
41202323301130
523114404230
62323513100
7433305033
oct142736134
953718040
1025934940
1113704339
128828790
1354b0925
14363171a
152424660
hex18bbc5c

25934940 has 72 divisors (see below), whose sum is σ = 79279200. Its totient is φ = 6862464.

The previous prime is 25934939. The next prime is 25934959. The reversal of 25934940 is 4943952.

It is a super-3 number, since 3×259349403 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 25934895 and 25934904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26337 + ... + 27303.

It is an arithmetic number, because the mean of its divisors is an integer number (1101100).

Almost surely, 225934940 is an apocalyptic number.

25934940 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 25934940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39639600).

25934940 is an abundant number, since it is smaller than the sum of its proper divisors (53344260).

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

25934940 is a wasteful number, since it uses less digits than its factorization.

25934940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 25934940 is about 5092.6358597489. The cubic root of 25934940 is about 296.0022978882.

The spelling of 25934940 in words is "twenty-five million, nine hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 967 1341 1490 1788 1934 2235 2682 2901 2980 3868 4470 4835 5364 5802 6705 8703 8940 9670 11604 13410 14505 17406 19340 26820 29010 34812 43515 58020 87030 144083 174060 288166 432249 576332 720415 864498 1296747 1440830 1728996 2161245 2593494 2881660 4322490 5186988 6483735 8644980 12967470 25934940