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12945744 = 243471427
BaseRepresentation
bin110001011000…
…100101010000
3220100201020000
4301120211100
511303230434
61141250000
7215015460
oct61304520
926321200
1012945744
117342369
124403900
1328b3606
141a0dba0
15120ab99
hexc58950

12945744 has 100 divisors (see below), whose sum is σ = 42851424. Its totient is φ = 3696192.

The previous prime is 12945739. The next prime is 12945767. The reversal of 12945744 is 44754921.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12945699 and 12945708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8359 + ... + 9785.

Almost surely, 212945744 is an apocalyptic number.

12945744 is a gapful number since it is divisible by the number (14) 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 12945744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425712).

12945744 is an abundant number, since it is smaller than the sum of its proper divisors (29905680).

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

12945744 is a wasteful number, since it uses less digits than its factorization.

12945744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1439 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12945744 is about 3598.0194552003. The cubic root of 12945744 is about 234.8058997828.

It can be divided in two parts, 12945 and 744, that added together give a square (13689 = 1172).

The spelling of 12945744 in words is "twelve million, nine hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1427 1512 2268 2854 3024 4281 4536 5708 8562 9072 9989 11416 12843 17124 19978 22832 25686 29967 34248 38529 39956 51372 59934 68496 77058 79912 89901 102744 115587 119868 154116 159824 179802 205488 231174 239736 269703 308232 359604 462348 479472 539406 616464 719208 809109 924696 1078812 1438416 1618218 1849392 2157624 3236436 4315248 6472872 12945744