Search a number
-
+
20459100 = 22352471451
BaseRepresentation
bin100111000001…
…0111001011100
31102111102121110
41032002321130
520214142400
62010302020
7335620344
oct116027134
942442543
1020459100
1110604252
126a27910
13431439c
142a07d24
151be1e50
hex1382e5c

20459100 has 72 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 5336000.

The previous prime is 20459083. The next prime is 20459107. The reversal of 20459100 is 195402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20459107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13375 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 220459100 is an apocalyptic number.

20459100 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 20459100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

20459100 is an abundant number, since it is smaller than the sum of its proper divisors (40037028).

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

20459100 is a wasteful number, since it uses less digits than its factorization.

20459100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20459100 is about 4523.1736645855. The cubic root of 20459100 is about 273.5030507877.

The spelling of 20459100 in words is "twenty million, four hundred fifty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 1451 2350 2820 2902 3525 4353 4700 5804 7050 7255 8706 14100 14510 17412 21765 29020 36275 43530 68197 72550 87060 108825 136394 145100 204591 217650 272788 340985 409182 435300 681970 818364 1022955 1363940 1704925 2045910 3409850 4091820 5114775 6819700 10229550 20459100