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32068036 = 22711138009
BaseRepresentation
bin111101001010…
…1000111000100
32020100020002001
41322111013010
531202134121
63103155044
7536400550
oct172250704
966306061
1032068036
1117113210
12a8a5a84
13684a390
14438a860
152c36991
hex1e951c4

32068036 has 48 divisors (see below), whose sum is σ = 75358080. Its totient is φ = 11531520.

The previous prime is 32068019. The next prime is 32068039. The reversal of 32068036 is 63086023.

32068036 is a nontrivial binomial coefficient, being equal to C(8009, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32067995 and 32068013.

It is not an unprimeable number, because it can be changed into a prime (32068039) 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, 1 + ... + 8008.

It is an arithmetic number, because the mean of its divisors is an integer number (1569960).

Almost surely, 232068036 is an apocalyptic number.

32068036 is the 8008-th triangular number.

32068036 is the 2670-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32068036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37679040).

32068036 is an abundant number, since it is smaller than the sum of its proper divisors (43290044).

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

32068036 is a wasteful number, since it uses less digits than its factorization.

32068036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 32068036 is about 5662.8646460956. The cubic root of 32068036 is about 317.7050519925.

The spelling of 32068036 in words is "thirty-two million, sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 8009 16018 32036 56063 88099 104117 112126 176198 208234 224252 352396 416468 616693 728819 1145287 1233386 1457638 2290574 2466772 2915276 4581148 8017009 16034018 32068036