Search a number
-
+
20438600 = 23527131123
BaseRepresentation
bin100110111110…
…1111001001000
31102110101111012
41031331321020
520213013400
62010023052
7335503520
oct115757110
942411435
1020438600
111059a906
126a17a88
134307c60
142a00680
151bdad35
hex137de48

20438600 has 96 divisors (see below), whose sum is σ = 58537920. Its totient is φ = 6462720.

The previous prime is 20438581. The next prime is 20438611. The reversal of 20438600 is 683402.

It is a happy number.

It is a congruent number.

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, 17639 + ... + 18761.

It is an arithmetic number, because the mean of its divisors is an integer number (609770).

Almost surely, 220438600 is an apocalyptic number.

20438600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20438600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268960).

20438600 is an abundant number, since it is smaller than the sum of its proper divisors (38099320).

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

20438600 is a wasteful number, since it uses less digits than its factorization.

20438600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20438600 is about 4520.9069886473. The cubic root of 20438600 is about 273.4116703220.

The spelling of 20438600 in words is "twenty million, four hundred thirty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1123 1300 1400 1820 2246 2275 2600 3640 4492 4550 5615 7861 8984 9100 11230 14599 15722 18200 22460 28075 29198 31444 39305 44920 56150 58396 62888 72995 78610 102193 112300 116792 145990 157220 196525 204386 224600 291980 314440 364975 393050 408772 510965 583960 729950 786100 817544 1021930 1459900 1572200 2043860 2554825 2919800 4087720 5109650 10219300 20438600