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20038872 = 2337181659
BaseRepresentation
bin100110001110…
…0010011011000
31101201002011110
41030130103120
520112220442
61553300320
7332220240
oct114342330
941632143
1020038872
1110347557
1268646a0
1341c8029
142938b20
151b5c69c
hex131c4d8

20038872 has 64 divisors (see below), whose sum is σ = 57657600. Its totient is φ = 5685120.

The previous prime is 20038849. The next prime is 20038877. The reversal of 20038872 is 27883002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20038877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30079 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 220038872 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 20038872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828800).

20038872 is an abundant number, since it is smaller than the sum of its proper divisors (37618728).

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

20038872 is a wasteful number, since it uses less digits than its factorization.

20038872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20038872 is about 4476.4798670384. The cubic root of 20038872 is about 271.6175059191.

It can be divided in two parts, 20038 and 872, that added together give a triangular number (20910 = T204).

The spelling of 20038872 in words is "twenty million, thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 659 724 1086 1267 1318 1448 1977 2172 2534 2636 3801 3954 4344 4613 5068 5272 7602 7908 9226 10136 13839 15204 15816 18452 27678 30408 36904 55356 110712 119279 238558 357837 477116 715674 834953 954232 1431348 1669906 2504859 2862696 3339812 5009718 6679624 10019436 20038872