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12394944 = 2635797
BaseRepresentation
bin101111010010…
…000111000000
3212022201200000
4233102013000
511133114234
61121400000
7210232602
oct57220700
925281600
1012394944
116aa6561
124199000
13274c9b3
141909172
15114c899
hexbd21c0

12394944 has 84 divisors (see below), whose sum is σ = 36889944. Its totient is φ = 4126464.

The previous prime is 12394937. The next prime is 12394961. The reversal of 12394944 is 44949321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12394899 and 12394908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15154 + ... + 15950.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 212394944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444972).

12394944 is an abundant number, since it is smaller than the sum of its proper divisors (24495000).

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

12394944 is an frugal number, since it uses more digits than its factorization.

12394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12394944 is about 3520.6453953785. The cubic root of 12394944 is about 231.4274426753.

The spelling of 12394944 in words is "twelve million, three hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 797 864 972 1296 1594 1728 1944 2391 2592 3188 3888 4782 5184 6376 7173 7776 9564 12752 14346 15552 19128 21519 25504 28692 38256 43038 51008 57384 64557 76512 86076 114768 129114 153024 172152 193671 229536 258228 344304 387342 459072 516456 688608 774684 1032912 1377216 1549368 2065824 3098736 4131648 6197472 12394944