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12294828 = 2235713139
BaseRepresentation
bin101110111001…
…101010101100
3212010122100000
4232321222230
511121413303
61115304300
7206334660
oct56715254
925118300
1012294828
116a38317
12414b090
132716260
1418c08a0
15112cda3
hexbb9aac

12294828 has 144 divisors (see below), whose sum is σ = 39952640. Its totient is φ = 3219264.

The previous prime is 12294823. The next prime is 12294853. The reversal of 12294828 is 82849221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12294792 and 12294801.

It is not an unprimeable number, because it can be changed into a prime (12294823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88383 + ... + 88521.

Almost surely, 212294828 is an apocalyptic number.

12294828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12294828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976320).

12294828 is an abundant number, since it is smaller than the sum of its proper divisors (27657812).

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

12294828 is a wasteful number, since it uses less digits than its factorization.

12294828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12294828 is about 3506.3981519502. The cubic root of 12294828 is about 230.8026650019.

The spelling of 12294828 in words is "twelve million, two hundred ninety-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 139 156 162 182 189 234 243 252 273 278 324 351 364 378 417 468 486 546 556 567 702 756 819 834 972 973 1053 1092 1134 1251 1404 1638 1668 1701 1807 1946 2106 2268 2457 2502 2919 3159 3276 3402 3614 3753 3892 4212 4914 5004 5421 5838 6318 6804 7228 7371 7506 8757 9828 10842 11259 11676 12636 12649 14742 15012 16263 17514 21684 22113 22518 25298 26271 29484 32526 33777 35028 37947 44226 45036 48789 50596 52542 65052 67554 75894 78813 88452 97578 105084 113841 135108 146367 151788 157626 195156 227682 236439 292734 315252 341523 439101 455364 472878 585468 683046 878202 945756 1024569 1366092 1756404 2049138 3073707 4098276 6147414 12294828