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2432064 = 26353239
BaseRepresentation
bin1001010001110001000000
311120120011110
421101301000
51110311224
6124043320
726446365
oct11216100
94516143
102432064
111411278
12993540
13671cbb
1447446c
15330929
hex251c40

2432064 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 792064.

The previous prime is 2432041. The next prime is 2432069. The reversal of 2432064 is 4602342.

It is a self number, because there is not a number n which added to its sum of digits gives 2432064.

It is not an unprimeable number, because it can be changed into a prime (2432069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10057 + ... + 10295.

22432064 is an apocalyptic number.

2432064 is a gapful number since it is divisible by the number (24) 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 2432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2432064 is an abundant number, since it is smaller than the sum of its proper divisors (4151616).

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

2432064 is a wasteful number, since it uses less digits than its factorization.

2432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2432064 is about 1559.5076146015. The cubic root of 2432064 is about 134.4801959021.

The spelling of 2432064 in words is "two million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 239 318 424 478 636 717 848 956 1272 1434 1696 1912 2544 2868 3392 3824 5088 5736 7648 10176 11472 12667 15296 22944 25334 38001 45888 50668 76002 101336 152004 202672 304008 405344 608016 810688 1216032 2432064