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25089680 = 2457114073
BaseRepresentation
bin101111110110…
…1011010010000
31202012200120102
41133231122100
522410332210
62253431532
7423154520
oct137553220
952180512
1025089680
1113187280
12849b5a8
135275c85
143491680
152308ea5
hex17ed690

25089680 has 80 divisors (see below), whose sum is σ = 72745344. Its totient is φ = 7818240.

The previous prime is 25089679. The next prime is 25089703. The reversal of 25089680 is 8698052.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4124 + ... + 8196.

Almost surely, 225089680 is an apocalyptic number.

25089680 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 25089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36372672).

25089680 is an abundant number, since it is smaller than the sum of its proper divisors (47655664).

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

25089680 is a wasteful number, since it uses less digits than its factorization.

25089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 25089680 is about 5008.9599718904. The cubic root of 25089680 is about 292.7509911305.

The spelling of 25089680 in words is "twenty-five million, eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 4073 6160 8146 16292 20365 28511 32584 40730 44803 57022 65168 81460 89606 114044 142555 162920 179212 224015 228088 285110 313621 325840 358424 448030 456176 570220 627242 716848 896060 1140440 1254484 1568105 1792120 2280880 2508968 3136210 3584240 5017936 6272420 12544840 25089680