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12945024 = 273217661
BaseRepresentation
bin110001011000…
…011010000000
3220100200020100
4301120122000
511303220044
61141242400
7215013411
oct61303200
926320210
1012945024
117341874
124403400
1328b31a1
141a0d808
15120a869
hexc58680

12945024 has 96 divisors (see below), whose sum is σ = 39501540. Its totient is φ = 4055040.

The previous prime is 12945001. The next prime is 12945029. The reversal of 12945024 is 42054921.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 1166400 = 3432^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12945029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19254 + ... + 19914.

Almost surely, 212945024 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 12945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19750770).

12945024 is an abundant number, since it is smaller than the sum of its proper divisors (26556516).

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

12945024 is a wasteful number, since it uses less digits than its factorization.

12945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12945024 is about 3597.9193987637. The cubic root of 12945024 is about 234.8015466563.

Adding to 12945024 its reverse (42054921), we get a palindrome (54999945).

It can be divided in two parts, 1294 and 5024, that multiplied together give a palindrome (6501056).

The spelling of 12945024 in words is "twelve million, nine hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 661 816 1088 1152 1224 1322 1632 1983 2176 2448 2644 3264 3966 4896 5288 5949 6528 7932 9792 10576 11237 11898 15864 19584 21152 22474 23796 31728 33711 42304 44948 47592 63456 67422 84608 89896 95184 101133 126912 134844 179792 190368 202266 253824 269688 359584 380736 404532 539376 719168 761472 809064 1078752 1438336 1618128 2157504 3236256 4315008 6472512 12945024