Search a number
-
+
12894210 = 2325797211
BaseRepresentation
bin110001001100…
…000000000010
3220021002112100
4301030000002
511300103320
61140211230
7214412310
oct61140002
926232470
1012894210
11730767a
124399b16
132896014
1419d90b0
1511ea790
hexc4c002

12894210 has 96 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 2903040.

The previous prime is 12894197. The next prime is 12894251. The reversal of 12894210 is 1249821.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61005 + ... + 61215.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 212894210 is an apocalyptic number.

12894210 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 12894210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).

12894210 is an abundant number, since it is smaller than the sum of its proper divisors (25998462).

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

12894210 is a wasteful number, since it uses less digits than its factorization.

12894210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12894210 is about 3590.8508740966. The cubic root of 12894210 is about 234.4939161879.

The spelling of 12894210 in words is "twelve million, eight hundred ninety-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 211 291 315 422 485 582 630 633 679 873 970 1055 1266 1358 1455 1477 1746 1899 2037 2110 2910 2954 3165 3395 3798 4074 4365 4431 6111 6330 6790 7385 8730 8862 9495 10185 12222 13293 14770 18990 20370 20467 22155 26586 30555 40934 44310 61110 61401 66465 102335 122802 132930 143269 184203 204670 286538 307005 368406 429807 614010 716345 859614 921015 1289421 1432690 1842030 2149035 2578842 4298070 6447105 12894210