Search a number
-
+
12697290 = 2335313741
BaseRepresentation
bin110000011011…
…111011001010
3212220002102000
4300123323022
511222303130
61132051430
7212632224
oct60337312
925802360
1012697290
117192731
124303b76
1328274b8
141987414
1511ac260
hexc1beca

12697290 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3110400.

The previous prime is 12697261. The next prime is 12697303. The reversal of 12697290 is 9279621.

It is a super-2 number, since 2×126972902 = 322442346688200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309670 + ... + 309710.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 212697290 is an apocalyptic number.

12697290 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 12697290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

12697290 is an abundant number, since it is smaller than the sum of its proper divisors (24074550).

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

12697290 is a wasteful number, since it uses less digits than its factorization.

12697290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12697290 is about 3563.3256937866. The cubic root of 12697290 is about 233.2940591495.

The spelling of 12697290 in words is "twelve million, six hundred ninety-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 37 41 45 54 62 74 82 90 93 111 123 135 155 185 186 205 222 246 270 279 310 333 369 370 410 465 555 558 615 666 738 837 930 999 1107 1110 1147 1230 1271 1395 1517 1665 1674 1845 1998 2214 2294 2542 2790 3034 3330 3441 3690 3813 4185 4551 4995 5535 5735 6355 6882 7585 7626 8370 9102 9990 10323 11070 11439 11470 12710 13653 15170 17205 19065 20646 22755 22878 27306 30969 34317 34410 38130 40959 45510 47027 51615 57195 61938 68265 68634 81918 94054 103230 114390 136530 141081 154845 171585 204795 235135 282162 309690 343170 409590 423243 470270 705405 846486 1269729 1410810 2116215 2539458 4232430 6348645 12697290