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20102838 = 2372101677
BaseRepresentation
bin100110010101…
…1111010110110
31101211022220120
41030223322312
520121242323
61554512410
7332604600
oct114537266
941738816
1020102838
1110390618
126895706
13421b192
142954170
151b715e3
hex132beb6

20102838 has 48 divisors (see below), whose sum is σ = 47302704. Its totient is φ = 5678400.

The previous prime is 20102837. The next prime is 20102861. The reversal of 20102838 is 83820102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102837) 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, 29356 + ... + 30032.

It is an arithmetic number, because the mean of its divisors is an integer number (985473).

Almost surely, 220102838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23651352).

20102838 is an abundant number, since it is smaller than the sum of its proper divisors (27199866).

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

20102838 is a wasteful number, since it uses less digits than its factorization.

20102838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20102838 is about 4483.6188508837. The cubic root of 20102838 is about 271.9062086515.

The spelling of 20102838 in words is "twenty million, one hundred two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 677 707 1354 1414 2031 2121 4062 4242 4739 4949 9478 9898 14217 14847 28434 29694 33173 66346 68377 99519 136754 199038 205131 410262 478639 957278 1435917 2871834 3350473 6700946 10051419 20102838