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12274080 = 2535713281
BaseRepresentation
bin101110110100…
…100110100000
3212002120212120
4232310212200
511120232310
61115024240
7206220330
oct56644640
925076776
1012274080
116a23775
12413b080
132709990
1418b70c0
151126b70
hexbb49a0

12274080 has 192 divisors, whose sum is σ = 47755008. Its totient is φ = 2580480.

The previous prime is 12274069. The next prime is 12274091. The reversal of 12274080 is 8047221.

It is an interprime number because it is at equal distance from previous prime (12274069) and next prime (12274091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12274080.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43540 + ... + 43820.

It is an arithmetic number, because the mean of its divisors is an integer number (248724).

Almost surely, 212274080 is an apocalyptic number.

12274080 is a gapful number since it is divisible by the number (10) 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 12274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877504).

12274080 is an abundant number, since it is smaller than the sum of its proper divisors (35480928).

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

12274080 is a wasteful number, since it uses less digits than its factorization.

12274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12274080 is about 3503.4383111452. The cubic root of 12274080 is about 230.6727624140.

The spelling of 12274080 in words is "twelve million, two hundred seventy-four thousand, eighty".