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25122006 = 2327313313
BaseRepresentation
bin101111111010…
…1010011010110
31202021022220200
41133311103112
522412401011
62254241330
7423351000
oct137652326
952238820
1025122006
11131a9598
1284b6246
1352878c0
14349d370
152313856
hex17f54d6

25122006 has 96 divisors (see below), whose sum is σ = 68577600. Its totient is φ = 6604416.

The previous prime is 25121969. The next prime is 25122011. The reversal of 25122006 is 60022152.

It is a super-2 number, since 2×251220062 = 1262230370928072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25122006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80106 + ... + 80418.

It is an arithmetic number, because the mean of its divisors is an integer number (714350).

Almost surely, 225122006 is an apocalyptic number.

25122006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25122006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34288800).

25122006 is an abundant number, since it is smaller than the sum of its proper divisors (43455594).

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

25122006 is a wasteful number, since it uses less digits than its factorization.

25122006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25122006 is about 5012.1857507479. The cubic root of 25122006 is about 292.8766657391.

Adding to 25122006 its reverse (60022152), we get a palindrome (85144158).

The spelling of 25122006 in words is "twenty-five million, one hundred twenty-two thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 313 343 441 546 626 637 686 819 882 939 1029 1274 1638 1878 1911 2058 2191 2817 3087 3822 4069 4382 4459 5634 5733 6174 6573 8138 8918 11466 12207 13146 13377 15337 19719 24414 26754 28483 30674 36621 39438 40131 46011 56966 73242 80262 85449 92022 107359 138033 170898 199381 214718 256347 276066 322077 398762 512694 598143 644154 966231 1196286 1395667 1794429 1932462 2791334 3588858 4187001 8374002 12561003 25122006