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12874224 = 2431137659
BaseRepresentation
bin110001000111…
…000111110000
3220020002010010
4301013013300
511243433344
61135534520
7214300116
oct61070760
926202103
1012874224
1172a3660
12438a440
132889bac
1419d1ab6
1511e48b9
hexc471f0

12874224 has 80 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 3790080.

The previous prime is 12874223. The next prime is 12874237. The reversal of 12874224 is 42247821.

It is a junction number, because it is equal to n+sod(n) for n = 12874191 and 12874200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874223) 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 15 ways as a sum of consecutive naturals, for example, 19207 + ... + 19865.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 212874224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659520).

12874224 is an abundant number, since it is smaller than the sum of its proper divisors (24444816).

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

12874224 is a wasteful number, since it uses less digits than its factorization.

12874224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 12874224 is about 3588.0668890086. The cubic root of 12874224 is about 234.3726985018.

The spelling of 12874224 in words is "twelve million, eight hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 659 814 888 1221 1318 1628 1776 1977 2442 2636 3256 3954 4884 5272 6512 7249 7908 9768 10544 14498 15816 19536 21747 24383 28996 31632 43494 48766 57992 73149 86988 97532 115984 146298 173976 195064 268213 292596 347952 390128 536426 585192 804639 1072852 1170384 1609278 2145704 3218556 4291408 6437112 12874224