Search a number
-
+
25296960 = 2635132027
BaseRepresentation
bin110000010000…
…0000001000000
31202121012220110
41200200001000
522434000320
62302111320
7425010033
oct140400100
952535813
1025296960
1113308a87
12857b540
135319420
14350701a
15234a5e0
hex1820040

25296960 has 112 divisors (see below), whose sum is σ = 86538816. Its totient is φ = 6223872.

The previous prime is 25296949. The next prime is 25296983. The reversal of 25296960 is 6969252.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11467 + ... + 13493.

It is an arithmetic number, because the mean of its divisors is an integer number (772668).

Almost surely, 225296960 is an apocalyptic number.

25296960 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 25296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43269408).

25296960 is an abundant number, since it is smaller than the sum of its proper divisors (61241856).

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

25296960 is a wasteful number, since it uses less digits than its factorization.

25296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 25296960 is about 5029.6083346519. The cubic root of 25296960 is about 293.5549748188.

The spelling of 25296960 in words is "twenty-five million, two hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2027 2080 2496 3120 4054 4160 6081 6240 8108 10135 12162 12480 16216 20270 24324 26351 30405 32432 40540 48648 52702 60810 64864 79053 81080 97296 105404 121620 129728 131755 158106 162160 194592 210808 243240 263510 316212 324320 389184 395265 421616 486480 527020 632424 648640 790530 843232 972960 1054040 1264848 1581060 1686464 1945920 2108080 2529696 3162120 4216160 5059392 6324240 8432320 12648480 25296960