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20238600 = 2335289379
BaseRepresentation
bin100110100110…
…1000100001000
31102002020010210
41031031010020
520140113400
62001441120
7334011444
oct115150410
942066123
1020238600
1110473618
1269401a0
134267c05
14298b824
151b9b950
hex134d108

20238600 has 96 divisors (see below), whose sum is σ = 63612000. Its totient is φ = 5322240.

The previous prime is 20238587. The next prime is 20238601. The reversal of 20238600 is 683202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20238601) 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, 53211 + ... + 53589.

It is an arithmetic number, because the mean of its divisors is an integer number (662625).

Almost surely, 220238600 is an apocalyptic number.

20238600 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 20238600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806000).

20238600 is an abundant number, since it is smaller than the sum of its proper divisors (43373400).

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

20238600 is a wasteful number, since it uses less digits than its factorization.

20238600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20238600 is about 4498.7331550115. The cubic root of 20238600 is about 272.5169307439.

The spelling of 20238600 in words is "twenty million, two hundred thirty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 379 445 534 600 712 758 890 1068 1137 1335 1516 1780 1895 2136 2225 2274 2670 3032 3560 3790 4450 4548 5340 5685 6675 7580 8900 9096 9475 10680 11370 13350 15160 17800 18950 22740 26700 28425 33731 37900 45480 53400 56850 67462 75800 101193 113700 134924 168655 202386 227400 269848 337310 404772 505965 674620 809544 843275 1011930 1349240 1686550 2023860 2529825 3373100 4047720 5059650 6746200 10119300 20238600