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12530640 = 2435109479
BaseRepresentation
bin101111110011…
…001111010000
3212120121210210
4233303033100
511201440030
61124324120
7211336323
oct57631720
925517723
1012530640
117089501
124243640
1327996a5
1419427ba
151177bb0
hexbf33d0

12530640 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3303936.

The previous prime is 12530629. The next prime is 12530647. The reversal of 12530640 is 4603521.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12530647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25921 + ... + 26399.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 212530640 is an apocalyptic number.

12530640 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 12530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12530640 is an abundant number, since it is smaller than the sum of its proper divisors (26752560).

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

12530640 is a wasteful number, since it uses less digits than its factorization.

12530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12530640 is about 3539.8644041827. The cubic root of 12530640 is about 232.2689113313.

The spelling of 12530640 in words is "twelve million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 479 545 654 872 958 1090 1308 1437 1635 1744 1916 2180 2395 2616 2874 3270 3832 4360 4790 5232 5748 6540 7185 7664 8720 9580 11496 13080 14370 19160 22992 26160 28740 38320 52211 57480 104422 114960 156633 208844 261055 313266 417688 522110 626532 783165 835376 1044220 1253064 1566330 2088440 2506128 3132660 4176880 6265320 12530640