Search a number
-
+
25068560 = 2451161467
BaseRepresentation
bin101111110100…
…0010000010000
31202011121121012
41133220100100
522404143220
62253150052
7423036116
oct137502020
952147535
1025068560
1113172420
12848b328
13526948a
143487ab6
152302ac5
hex17e8410

25068560 has 80 divisors (see below), whose sum is σ = 64763712. Its totient is φ = 8947200.

The previous prime is 25068539. The next prime is 25068587. The reversal of 25068560 is 6586052.

It is a happy number.

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, 53447 + ... + 53913.

Almost surely, 225068560 is an apocalyptic number.

25068560 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 25068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381856).

25068560 is an abundant number, since it is smaller than the sum of its proper divisors (39695152).

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

25068560 is a wasteful number, since it uses less digits than its factorization.

25068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 25068560 is about 5006.8513059607. The cubic root of 25068560 is about 292.6688240585.

The spelling of 25068560 in words is "twenty-five million, sixty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 467 488 610 671 880 934 976 1220 1342 1868 2335 2440 2684 3355 3736 4670 4880 5137 5368 6710 7472 9340 10274 10736 13420 18680 20548 25685 26840 28487 37360 41096 51370 53680 56974 82192 102740 113948 142435 205480 227896 284870 313357 410960 455792 569740 626714 1139480 1253428 1566785 2278960 2506856 3133570 5013712 6267140 12534280 25068560