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10021836 = 22311233301
BaseRepresentation
bin100110001110…
…101111001100
3200212011101010
4212032233030
510031144321
6554445220
7151120116
oct46165714
920764333
1010021836
115725610
123433810
1320cb7a6
14148c3b6
15d2e676
hex98ebcc

10021836 has 48 divisors (see below), whose sum is σ = 26627328. Its totient is φ = 2904000.

The previous prime is 10021831. The next prime is 10021853. The reversal of 10021836 is 63812001.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10021831) 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, 1386 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 210021836 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 10021836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

10021836 is an abundant number, since it is smaller than the sum of its proper divisors (16605492).

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

10021836 is a wasteful number, since it uses less digits than its factorization.

10021836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10021836 is about 3165.7283522122. The cubic root of 10021836 is about 215.6001691213.

Adding to 10021836 its reverse (63812001), we get a palindrome (73833837).

The spelling of 10021836 in words is "ten million, twenty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3301 6602 9903 13204 19806 36311 39612 72622 75923 108933 145244 151846 217866 227769 303692 435732 455538 835153 911076 1670306 2505459 3340612 5010918 10021836