Search a number
-
+
12652290 = 23257219151
BaseRepresentation
bin110000010000…
…111100000010
3212210210200100
4300100330002
511214333130
61131103230
7212354100
oct60207402
925723610
1012652290
117161942
1242a1b16
13280cb81
141974c70
15119dc60
hexc10f02

12652290 has 144 divisors (see below), whose sum is σ = 40547520. Its totient is φ = 2721600.

The previous prime is 12652279. The next prime is 12652303. The reversal of 12652290 is 9225621.

12652290 = T191 + T192 + ... + T435.

12652290 is a `hidden beast` number, since 1 + 2 + 652 + 2 + 9 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83715 + ... + 83865.

It is an arithmetic number, because the mean of its divisors is an integer number (281580).

Almost surely, 212652290 is an apocalyptic number.

12652290 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 12652290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273760).

12652290 is an abundant number, since it is smaller than the sum of its proper divisors (27895230).

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

12652290 is a wasteful number, since it uses less digits than its factorization.

12652290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12652290 is about 3557.0057632790. The cubic root of 12652290 is about 233.0181299480.

The spelling of 12652290 in words is "twelve million, six hundred fifty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 151 171 190 210 245 266 285 294 302 315 342 399 441 453 490 570 630 665 735 755 798 855 882 906 931 1057 1197 1330 1359 1470 1510 1710 1862 1995 2114 2205 2265 2394 2718 2793 2869 3171 3990 4410 4530 4655 5285 5586 5738 5985 6342 6795 7399 8379 8607 9310 9513 10570 11970 13590 13965 14345 14798 15855 16758 17214 19026 20083 22197 25821 27930 28690 31710 36995 40166 41895 43035 44394 47565 51642 60249 66591 73990 83790 86070 95130 100415 110985 120498 129105 133182 140581 180747 200830 221970 258210 281162 301245 332955 361494 421743 602490 665910 702905 843486 903735 1265229 1405810 1807470 2108715 2530458 4217430 6326145 12652290