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20838936 = 2332979379
BaseRepresentation
bin100111101111…
…1101000011000
31110012201122110
41033133220120
520313321221
62022352320
7342061626
oct117375030
943181573
1020838936
1110843668
126b8b6a0
134418241
142aa6516
151c69776
hex13dfa18

20838936 has 64 divisors (see below), whose sum is σ = 54720000. Its totient is φ = 6604416.

The previous prime is 20838931. The next prime is 20838949. The reversal of 20838936 is 63983802.

It is a super-2 number, since 2×208389362 = 868522507224192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20838894 and 20838903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20838931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54795 + ... + 55173.

It is an arithmetic number, because the mean of its divisors is an integer number (855000).

Almost surely, 220838936 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 20838936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360000).

20838936 is an abundant number, since it is smaller than the sum of its proper divisors (33881064).

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

20838936 is a wasteful number, since it uses less digits than its factorization.

20838936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 20838936 is about 4564.9683460020. The cubic root of 20838936 is about 275.1852679941.

The spelling of 20838936 in words is "twenty million, eight hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 316 348 379 474 632 696 758 948 1137 1516 1896 2274 2291 3032 4548 4582 6873 9096 9164 10991 13746 18328 21982 27492 29941 32973 43964 54984 59882 65946 87928 89823 119764 131892 179646 239528 263784 359292 718584 868289 1736578 2604867 3473156 5209734 6946312 10419468 20838936