Search a number
-
+
12990492 = 22322329541
BaseRepresentation
bin110001100011…
…100000011100
3220102222121100
4301203200130
511311143432
61142233100
7215263104
oct61434034
926388540
1012990492
117372a49
124425790
1328caaa8
141a22204
15121907c
hexc6381c

12990492 has 72 divisors (see below), whose sum is σ = 35511840. Its totient is φ = 3991680.

The previous prime is 12990491. The next prime is 12990493. The reversal of 12990492 is 29409921.

It is an interprime number because it is at equal distance from previous prime (12990491) and next prime (12990493).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12990491) 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, 23742 + ... + 24282.

It is an arithmetic number, because the mean of its divisors is an integer number (493220).

Almost surely, 212990492 is an apocalyptic number.

12990492 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 12990492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755920).

12990492 is an abundant number, since it is smaller than the sum of its proper divisors (22521348).

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

12990492 is a wasteful number, since it uses less digits than its factorization.

12990492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 12990492 is about 3604.2325119226. The cubic root of 12990492 is about 235.0761304571.

The spelling of 12990492 in words is "twelve million, nine hundred ninety thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 541 667 828 1044 1082 1334 1623 2001 2164 2668 3246 4002 4869 6003 6492 8004 9738 12006 12443 15689 19476 24012 24886 31378 37329 47067 49772 62756 74658 94134 111987 141201 149316 188268 223974 282402 360847 447948 564804 721694 1082541 1443388 2165082 3247623 4330164 6495246 12990492