Search a number
-
+
12539640 = 2335831259
BaseRepresentation
bin101111110101…
…011011111000
3212121002011010
4233311123320
511202232030
61124433520
7211404501
oct57653370
925532133
1012539640
117095243
1242488a0
1327a0809
141945ba8
15117a6b0
hexbf56f8

12539640 has 64 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 3300992.

The previous prime is 12539603. The next prime is 12539663. The reversal of 12539640 is 4693521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12539598 and 12539607.

It is a congruent number.

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, 9331 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 212539640 is an apocalyptic number.

12539640 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 12539640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

12539640 is an abundant number, since it is smaller than the sum of its proper divisors (25562760).

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

12539640 is a wasteful number, since it uses less digits than its factorization.

12539640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 12539640 is about 3541.1354111358. The cubic root of 12539640 is about 232.3245062551.

The spelling of 12539640 in words is "twelve million, five hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1259 1660 1992 2490 2518 3320 3777 4980 5036 6295 7554 9960 10072 12590 15108 18885 25180 30216 37770 50360 75540 104497 151080 208994 313491 417988 522485 626982 835976 1044970 1253964 1567455 2089940 2507928 3134910 4179880 6269820 12539640