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20031084 = 2233312193
BaseRepresentation
bin100110001101…
…0011001101100
31101200200111000
41030122121230
520111443314
61553200300
7332155443
oct114323154
941620430
1020031084
1110341717
126860090
1341c4618
142935d5a
151b5a209
hex131a66c

20031084 has 72 divisors (see below), whose sum is σ = 53939760. Its totient is φ = 6428160.

The previous prime is 20031059. The next prime is 20031101. The reversal of 20031084 is 48013002.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103692 + ... + 103884.

Almost surely, 220031084 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 20031084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26969880).

20031084 is an abundant number, since it is smaller than the sum of its proper divisors (33908676).

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

20031084 is a wasteful number, since it uses less digits than its factorization.

20031084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20031084 is about 4475.6099025719. The cubic root of 20031084 is about 271.5823137979.

Adding to 20031084 its reverse (48013002), we get a palindrome (68044086).

The spelling of 20031084 in words is "twenty million, thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 193 279 372 386 558 579 772 837 961 1116 1158 1674 1737 1922 2316 2883 3348 3474 3844 5211 5766 5983 6948 8649 10422 11532 11966 17298 17949 20844 23932 25947 34596 35898 51894 53847 71796 103788 107694 161541 185473 215388 323082 370946 556419 646164 741892 1112838 1669257 2225676 3338514 5007771 6677028 10015542 20031084