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12397590 = 2335173773
BaseRepresentation
bin101111010010…
…110000010110
3212022212022000
4233102300112
511133210330
61121420130
7210243402
oct57226026
925285260
1012397590
116aa8547
12419a646
132750c6a
14190a102
15114d560
hexbd2c16

12397590 has 128 divisors (see below), whose sum is σ = 36443520. Its totient is φ = 2985984.

The previous prime is 12397571. The next prime is 12397591. The reversal of 12397590 is 9579321.

12397590 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169794 + ... + 169866.

It is an arithmetic number, because the mean of its divisors is an integer number (284715).

Almost surely, 212397590 is an apocalyptic number.

12397590 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 12397590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221760).

12397590 is an abundant number, since it is smaller than the sum of its proper divisors (24045930).

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

12397590 is a wasteful number, since it uses less digits than its factorization.

12397590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 12397590 is about 3521.0211586981. The cubic root of 12397590 is about 231.4439094283.

The spelling of 12397590 in words is "twelve million, three hundred ninety-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 54 73 74 85 90 102 111 135 146 153 170 185 219 222 255 270 306 333 365 370 438 459 510 555 629 657 666 730 765 918 999 1095 1110 1241 1258 1314 1530 1665 1887 1971 1998 2190 2295 2482 2701 3145 3285 3330 3723 3774 3942 4590 4995 5402 5661 6205 6290 6570 7446 8103 9435 9855 9990 11169 11322 12410 13505 16206 16983 18615 18870 19710 22338 24309 27010 28305 33507 33966 37230 40515 45917 48618 55845 56610 67014 72927 81030 84915 91834 111690 121545 137751 145854 167535 169830 229585 243090 275502 335070 364635 413253 459170 688755 729270 826506 1239759 1377510 2066265 2479518 4132530 6198795 12397590