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1232064 = 26332331
BaseRepresentation
bin100101100110011000000
32022121002000
410230303000
5303411224
642224000
713321011
oct4546300
92277060
101232064
11771739
124b5000
13341a42
14241008
151950c9
hex12ccc0

1232064 has 112 divisors (see below), whose sum is σ = 3901440. Its totient is φ = 380160.

The previous prime is 1232003. The next prime is 1232069. The reversal of 1232064 is 4602321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39729 + ... + 39759.

21232064 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 1232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950720).

1232064 is an abundant number, since it is smaller than the sum of its proper divisors (2669376).

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

1232064 is a wasteful number, since it uses less digits than its factorization.

1232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232064 is about 1109.9837836653. The cubic root of 1232064 is about 107.2040245018.

1232064 divided by its product of nonzero digits (288) gives a triangular number (4278 = T92).

Adding to 1232064 its reverse (4602321), we get a palindrome (5834385).

It can be divided in two parts, 123 and 2064, that added together give a 7-th power (2187 = 37).

The spelling of 1232064 in words is "one million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 69 72 92 93 96 108 124 138 144 184 186 192 207 216 248 276 279 288 368 372 414 432 496 552 558 576 621 713 736 744 828 837 864 992 1104 1116 1242 1426 1472 1488 1656 1674 1728 1984 2139 2208 2232 2484 2852 2976 3312 3348 4278 4416 4464 4968 5704 5952 6417 6624 6696 8556 8928 9936 11408 12834 13248 13392 17112 17856 19251 19872 22816 25668 26784 34224 38502 39744 45632 51336 53568 68448 77004 102672 136896 154008 205344 308016 410688 616032 1232064