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2012024 = 237193161
BaseRepresentation
bin111101011001101111000
310210012222102
413223031320
51003341044
6111042532
723046650
oct7531570
93705872
102012024
111154733
12810448
13555a61
143a5360
1529b24e
hex1eb378

2012024 has 64 divisors (see below), whose sum is σ = 4761600. Its totient is φ = 777600.

The previous prime is 2012011. The next prime is 2012027. The reversal of 2012024 is 4202102.

It is a junction number, because it is equal to n+sod(n) for n = 2011996 and 2012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32954 + ... + 33014.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

22012024 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 2012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380800).

2012024 is an abundant number, since it is smaller than the sum of its proper divisors (2749576).

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

2012024 is a wasteful number, since it uses less digits than its factorization.

2012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2012024 is about 1418.4583180341. The cubic root of 2012024 is about 126.2440888648.

Adding to 2012024 its reverse (4202102), we get a palindrome (6214126).

The spelling of 2012024 in words is "two million, twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 61 62 76 122 124 133 152 217 244 248 266 427 434 488 532 589 854 868 1064 1159 1178 1708 1736 1891 2318 2356 3416 3782 4123 4636 4712 7564 8113 8246 9272 13237 15128 16226 16492 26474 32452 32984 35929 52948 64904 71858 105896 143716 251503 287432 503006 1006012 2012024