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20329884 = 22322343571
BaseRepresentation
bin100110110001…
…1010110011100
31102020212100200
41031203112130
520201024014
62003423500
7334541541
oct115432634
942225320
1020329884
1110526163
126984b90
13429a623
1429b2bc8
151bb8a09
hex136359c

20329884 has 72 divisors (see below), whose sum is σ = 54966912. Its totient is φ = 6320160.

The previous prime is 20329879. The next prime is 20329889. The reversal of 20329884 is 48892302.

It is an interprime number because it is at equal distance from previous prime (20329879) and next prime (20329889).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329889) 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 23 ways as a sum of consecutive naturals, for example, 35319 + ... + 35889.

Almost surely, 220329884 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 20329884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483456).

20329884 is an abundant number, since it is smaller than the sum of its proper divisors (34637028).

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

20329884 is a wasteful number, since it uses less digits than its factorization.

20329884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20329884 is about 4508.8672635153. The cubic root of 20329884 is about 272.9260355918.

The spelling of 20329884 in words is "twenty million, three hundred twenty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 571 774 828 989 1142 1548 1713 1978 2284 2967 3426 3956 5139 5934 6852 8901 10278 11868 13133 17802 20556 24553 26266 35604 39399 49106 52532 73659 78798 98212 118197 147318 157596 220977 236394 294636 441954 472788 564719 883908 1129438 1694157 2258876 3388314 5082471 6776628 10164942 20329884