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12732390 = 2345111429
BaseRepresentation
bin110000100100…
…011111100110
3212221212120000
4300210133212
511224414030
61132522130
7213136446
oct60443746
925855500
1012732390
117207040
124320346
13283a478
141996126
1511b7860
hexc247e6

12732390 has 80 divisors (see below), whose sum is σ = 37374480. Its totient is φ = 3084480.

The previous prime is 12732389. The next prime is 12732407. The reversal of 12732390 is 9323721.

12732390 is a `hidden beast` number, since 1 + 273 + 2 + 390 = 666.

12732390 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 super-2 number, since 2×127323902 = 324227510224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8196 + ... + 9624.

It is an arithmetic number, because the mean of its divisors is an integer number (467181).

Almost surely, 212732390 is an apocalyptic number.

12732390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12732390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687240).

12732390 is an abundant number, since it is smaller than the sum of its proper divisors (24642090).

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

12732390 is a wasteful number, since it uses less digits than its factorization.

12732390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 12732390 is about 3568.2474689965. The cubic root of 12732390 is about 233.5088316871.

It can be divided in two parts, 1273 and 2390, that added together give a palindrome (3663).

The spelling of 12732390 in words is "twelve million, seven hundred thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1429 1485 1782 2858 2970 4287 4455 7145 8574 8910 12861 14290 15719 21435 25722 31438 38583 42870 47157 64305 77166 78595 94314 115749 128610 141471 157190 192915 231498 235785 282942 385830 424413 471570 578745 707355 848826 1157490 1273239 1414710 2122065 2546478 4244130 6366195 12732390