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12368440 = 2357163271
BaseRepresentation
bin101111001011…
…101000111000
3212021101022101
4233023220320
511131242230
61121033144
7210062410
oct57135070
925241271
1012368440
116a88657
1241857b4
132740906
1418dd640
151144aca
hexbcba38

12368440 has 64 divisors (see below), whose sum is σ = 32117760. Its totient is φ = 4199040.

The previous prime is 12368437. The next prime is 12368441. The reversal of 12368440 is 4486321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12368399 and 12368408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45505 + ... + 45775.

It is an arithmetic number, because the mean of its divisors is an integer number (501840).

Almost surely, 212368440 is an apocalyptic number.

12368440 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 12368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058880).

12368440 is an abundant number, since it is smaller than the sum of its proper divisors (19749320).

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

12368440 is a wasteful number, since it uses less digits than its factorization.

12368440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 12368440 is about 3516.8792984690. The cubic root of 12368440 is about 231.2623718728.

The spelling of 12368440 in words is "twelve million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 271 280 326 542 652 815 1084 1141 1304 1355 1630 1897 2168 2282 2710 3260 3794 4564 5420 5705 6520 7588 9128 9485 10840 11410 15176 18970 22820 37940 44173 45640 75880 88346 176692 220865 309211 353384 441730 618422 883460 1236844 1546055 1766920 2473688 3092110 6184220 12368440