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12412280 = 235615087
BaseRepresentation
bin101111010110…
…010101111000
3212100121110002
4233112111320
511134143110
61122012132
7210334256
oct57262570
925317402
1012412280
117008591
1241a7048
13275785a
1419115d6
151152aa5
hexbd6578

12412280 has 32 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 4882560.

The previous prime is 12412273. The next prime is 12412313. The reversal of 12412280 is 8221421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (887220).

Almost surely, 212412280 is an apocalyptic number.

12412280 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 12412280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

12412280 is an abundant number, since it is smaller than the sum of its proper divisors (15978760).

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

12412280 is a wasteful number, since it uses less digits than its factorization.

12412280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 12412280 is about 3523.1065836843. The cubic root of 12412280 is about 231.5352865710.

The spelling of 12412280 in words is "twelve million, four hundred twelve thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 5087 10174 20348 25435 40696 50870 101740 203480 310307 620614 1241228 1551535 2482456 3103070 6206140 12412280