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12725040 = 2435371433
BaseRepresentation
bin110000100010…
…101100110000
3212221111110210
4300202230300
511224200130
61132424120
7213106146
oct60425460
925844423
1012725040
117201569
124318040
132837013
141993596
1511b55b0
hexc22b30

12725040 has 80 divisors (see below), whose sum is σ = 40542048. Its totient is φ = 3299328.

The previous prime is 12725039. The next prime is 12725051. The reversal of 12725040 is 4052721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12724998 and 12725016.

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, 8164 + ... + 9596.

Almost surely, 212725040 is an apocalyptic number.

12725040 is a gapful number since it is divisible by the number (10) 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 12725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20271024).

12725040 is an abundant number, since it is smaller than the sum of its proper divisors (27817008).

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

12725040 is a wasteful number, since it uses less digits than its factorization.

12725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12725040 is about 3567.2174029627. The cubic root of 12725040 is about 233.4638906543.

Adding to 12725040 its reverse (4052721), we get a palindrome (16777761).

The spelling of 12725040 in words is "twelve million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1433 1480 1776 2220 2866 2960 4299 4440 5732 7165 8598 8880 11464 14330 17196 21495 22928 28660 34392 42990 53021 57320 68784 85980 106042 114640 159063 171960 212084 265105 318126 343920 424168 530210 636252 795315 848336 1060420 1272504 1590630 2120840 2545008 3181260 4241680 6362520 12725040