Search a number
-
+
25085060 = 225721113179
BaseRepresentation
bin101111110110…
…0010010000100
31202012110020022
41133230102010
522410210220
62253354312
7423135200
oct137542204
952173208
1025085060
1113183860
128498998
135273b40
14348db00
152307925
hex17ec484

25085060 has 144 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 7176960.

The previous prime is 25085051. The next prime is 25085069. The reversal of 25085060 is 6058052.

It is an interprime number because it is at equal distance from previous prime (25085051) and next prime (25085069).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (25085069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140051 + ... + 140229.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 225085060 is an apocalyptic number.

25085060 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 25085060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

25085060 is an abundant number, since it is smaller than the sum of its proper divisors (47309500).

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

25085060 is a wasteful number, since it uses less digits than its factorization.

25085060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 25085060 is about 5008.4987770788. The cubic root of 25085060 is about 292.7330210248.

The spelling of 25085060 in words is "twenty-five million, eighty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 179 182 196 220 245 260 286 308 358 364 385 455 490 539 572 637 715 716 770 895 910 980 1001 1078 1253 1274 1430 1540 1790 1820 1969 2002 2156 2327 2506 2548 2695 2860 3185 3580 3938 4004 4654 5005 5012 5390 6265 6370 7007 7876 8771 9308 9845 10010 10780 11635 12530 12740 13783 14014 16289 17542 19690 20020 23270 25060 25597 27566 28028 32578 35035 35084 39380 43855 46540 51194 55132 65156 68915 70070 81445 87710 96481 102388 114023 127985 137830 140140 162890 175420 179179 192962 228046 255970 275660 325780 358358 385924 456092 482405 511940 570115 716716 895895 964810 1140230 1254253 1791790 1929620 2280460 2508506 3583580 5017012 6271265 12542530 25085060