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12033042 = 2371719887
BaseRepresentation
bin101101111001…
…110000010010
3211122100020020
4231321300102
511040024132
61105524310
7204164520
oct55716022
924570206
1012033042
11687966a
124043696
132654058
141853310
1510ca52c
hexb79c12

12033042 has 64 divisors (see below), whose sum is σ = 30689280. Its totient is φ = 3062016.

The previous prime is 12033041. The next prime is 12033107. The reversal of 12033042 is 24033021.

12033042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12033041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13123 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (479520).

Almost surely, 212033042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344640).

12033042 is an abundant number, since it is smaller than the sum of its proper divisors (18656238).

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

12033042 is a wasteful number, since it uses less digits than its factorization.

12033042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12033042 is about 3468.8675385491. The cubic root of 12033042 is about 229.1527873174.

Adding to 12033042 its reverse (24033021), we get a palindrome (36066063).

The spelling of 12033042 in words is "twelve million, thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 887 969 1774 1938 2261 2661 4522 5322 6209 6783 12418 13566 15079 16853 18627 30158 33706 37254 45237 50559 90474 101118 105553 117971 211106 235942 286501 316659 353913 573002 633318 707826 859503 1719006 2005507 4011014 6016521 12033042