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12242916 = 22327192557
BaseRepresentation
bin101110101100…
…111111100100
3212001000010100
4232230333210
511113233131
61114224100
7206030430
oct56547744
925030110
1012242916
116a02314
124125030
1326c873a
1418a99c0
15111c7e6
hexbacfe4

12242916 has 72 divisors (see below), whose sum is σ = 37244480. Its totient is φ = 3312576.

The previous prime is 12242911. The next prime is 12242921. The reversal of 12242916 is 61924221.

It is an interprime number because it is at equal distance from previous prime (12242911) and next prime (12242921).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12242916.

It is not an unprimeable number, because it can be changed into a prime (12242911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3510 + ... + 6066.

Almost surely, 212242916 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 12242916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622240).

12242916 is an abundant number, since it is smaller than the sum of its proper divisors (25001564).

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

12242916 is a wasteful number, since it uses less digits than its factorization.

12242916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2588 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12242916 is about 3498.9878536514. The cubic root of 12242916 is about 230.4773702106.

The spelling of 12242916 in words is "twelve million, two hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 2557 4788 5114 7671 10228 15342 17899 23013 30684 35798 46026 48583 53697 71596 92052 97166 107394 145749 161091 194332 214788 291498 322182 340081 437247 582996 644364 680162 874494 1020243 1360324 1748988 2040486 3060729 4080972 6121458 12242916