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25690240 = 275137293
BaseRepresentation
bin110001000000…
…0000010000000
31210100012101101
41202000002000
523034041430
62314344144
7431235442
oct142000200
953305341
1025690240
1113557504
12872b054
135426434
1435aa492
1523c6dca
hex1880080

25690240 has 64 divisors (see below), whose sum is σ = 62075160. Its totient is φ = 10166272.

The previous prime is 25690229. The next prime is 25690277. The reversal of 25690240 is 4209652.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 529984 = 5016^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 25690199 and 25690208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87534 + ... + 87826.

Almost surely, 225690240 is an apocalyptic number.

25690240 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 25690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037580).

25690240 is an abundant number, since it is smaller than the sum of its proper divisors (36384920).

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

25690240 is a wasteful number, since it uses less digits than its factorization.

25690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 25690240 is about 5068.5540344363. The cubic root of 25690240 is about 295.0684127458.

Adding to 25690240 its reverse (4209652), we get a palindrome (29899892).

The spelling of 25690240 in words is "twenty-five million, six hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 293 320 548 586 640 685 1096 1172 1370 1465 2192 2344 2740 2930 4384 4688 5480 5860 8768 9376 10960 11720 17536 18752 21920 23440 37504 40141 43840 46880 80282 87680 93760 160564 187520 200705 321128 401410 642256 802820 1284512 1605640 2569024 3211280 5138048 6422560 12845120 25690240