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12406992 = 2431359337
BaseRepresentation
bin101111010101…
…000011010000
3212100100012020
4233111003100
511134010432
61121531440
7210312663
oct57250320
925310166
1012406992
117004614
1241a3b80
132755320
14190d6da
15115122c
hexbd50d0

12406992 has 80 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 3741696.

The previous prime is 12406987. The next prime is 12406997. The reversal of 12406992 is 29960421.

It is an interprime number because it is at equal distance from previous prime (12406987) and next prime (12406997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406997) 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, 36648 + ... + 36984.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 212406992 is an apocalyptic number.

12406992 is a gapful number since it is divisible by the number (12) 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 12406992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

12406992 is an abundant number, since it is smaller than the sum of its proper divisors (22799088).

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

12406992 is a wasteful number, since it uses less digits than its factorization.

12406992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 12406992 is about 3522.3560297051. The cubic root of 12406992 is about 231.5024015972.

The spelling of 12406992 in words is "twelve million, four hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 337 354 472 624 674 708 767 944 1011 1348 1416 1534 2022 2301 2696 2832 3068 4044 4381 4602 5392 6136 8088 8762 9204 12272 13143 16176 17524 18408 19883 26286 35048 36816 39766 52572 59649 70096 79532 105144 119298 159064 210288 238596 258479 318128 477192 516958 775437 954384 1033916 1550874 2067832 3101748 4135664 6203496 12406992