Search a number
-
+
12988290 = 2357127487
BaseRepresentation
bin110001100010…
…111110000010
3220102212120210
4301202332002
511311111130
61142214550
7215253510
oct61427602
926385523
1012988290
117371327
124424456
1328c9aa3
141a214b0
1512185b0
hexc62f82

12988290 has 64 divisors (see below), whose sum is σ = 35979264. Its totient is φ = 2939328.

The previous prime is 12988277. The next prime is 12988291. The reversal of 12988290 is 9288921.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12988291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26427 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (562176).

Almost surely, 212988290 is an apocalyptic number.

12988290 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 12988290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989632).

12988290 is an abundant number, since it is smaller than the sum of its proper divisors (22990974).

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

12988290 is a wasteful number, since it uses less digits than its factorization.

12988290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 12988290 is about 3603.9270247884. The cubic root of 12988290 is about 235.0628472320.

The spelling of 12988290 in words is "twelve million, nine hundred eighty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 487 635 762 889 974 1270 1461 1778 1905 2435 2667 2922 3409 3810 4445 4870 5334 6818 7305 8890 10227 13335 14610 17045 20454 26670 34090 51135 61849 102270 123698 185547 309245 371094 432943 618490 865886 927735 1298829 1855470 2164715 2597658 4329430 6494145 12988290