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12922240 = 27561331
BaseRepresentation
bin110001010010…
…110110000000
3220022111222111
4301102312000
511302002430
61140545104
7214560112
oct61226600
926274874
1012922240
117326741
1243b2194
1328a59c6
141a053b2
151203c2a
hexc52d80

12922240 has 64 divisors (see below), whose sum is σ = 31493520. Its totient is φ = 5068800.

The previous prime is 12922237. The next prime is 12922253. The reversal of 12922240 is 4222921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 3.

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, 38875 + ... + 39205.

Almost surely, 212922240 is an apocalyptic number.

12922240 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 12922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746760).

12922240 is an abundant number, since it is smaller than the sum of its proper divisors (18571280).

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

12922240 is an equidigital number, since it uses as much as digits as its factorization.

12922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12922240 is about 3594.7517299530. The cubic root of 12922240 is about 234.6637109361.

The spelling of 12922240 in words is "twelve million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 331 488 610 640 662 976 1220 1324 1655 1952 2440 2648 3310 3904 4880 5296 6620 7808 9760 10592 13240 19520 20191 21184 26480 39040 40382 42368 52960 80764 100955 105920 161528 201910 211840 323056 403820 646112 807640 1292224 1615280 2584448 3230560 6461120 12922240