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12539040 = 2535151173
BaseRepresentation
bin101111110101…
…010010100000
3212121001022220
4233311102200
511202222130
61124431040
7211402653
oct57652240
925531286
1012539040
117094848
124248480
1327a0467
14194589a
15117a410
hexbf54a0

12539040 has 96 divisors (see below), whose sum is σ = 39989376. Its totient is φ = 3302400.

The previous prime is 12539039. The next prime is 12539057. The reversal of 12539040 is 4093521.

12539040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12539040.

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, 72394 + ... + 72566.

It is an arithmetic number, because the mean of its divisors is an integer number (416556).

Almost surely, 212539040 is an apocalyptic number.

12539040 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 12539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994688).

12539040 is an abundant number, since it is smaller than the sum of its proper divisors (27450336).

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

12539040 is a wasteful number, since it uses less digits than its factorization.

12539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12539040 is about 3541.0506915321. The cubic root of 12539040 is about 232.3208007546.

The spelling of 12539040 in words is "twelve million, five hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 173 240 302 346 453 480 519 604 692 755 865 906 1038 1208 1384 1510 1730 1812 2076 2265 2416 2595 2768 3020 3460 3624 4152 4530 4832 5190 5536 6040 6920 7248 8304 9060 10380 12080 13840 14496 16608 18120 20760 24160 26123 27680 36240 41520 52246 72480 78369 83040 104492 130615 156738 208984 261230 313476 391845 417968 522460 626952 783690 835936 1044920 1253904 1567380 2089840 2507808 3134760 4179680 6269520 12539040