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12364220 = 22511431307
BaseRepresentation
bin101111001010…
…100110111100
3212021011112002
4233022212330
511131123340
61121001432
7210044201
oct57124674
925234462
1012364220
116a85470
124183278
13273ba0b
1418dbca8
151143715
hexbca9bc

12364220 has 48 divisors (see below), whose sum is σ = 29006208. Its totient is φ = 4388160.

The previous prime is 12364213. The next prime is 12364259. The reversal of 12364220 is 2246321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12364192 and 12364201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8807 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (604296).

Almost surely, 212364220 is an apocalyptic number.

12364220 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 12364220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503104).

12364220 is an abundant number, since it is smaller than the sum of its proper divisors (16641988).

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

12364220 is a wasteful number, since it uses less digits than its factorization.

12364220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12364220 is about 3516.2792835610. The cubic root of 12364220 is about 231.2360673369.

The spelling of 12364220 in words is "twelve million, three hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1307 1892 2365 2614 4730 5228 6535 9460 13070 14377 26140 28754 56201 57508 71885 112402 143770 224804 281005 287540 562010 618211 1124020 1236422 2472844 3091055 6182110 12364220