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20065936 = 2411234957
BaseRepresentation
bin100110010001…
…0111010010000
31101202110021211
41030202322100
520114102221
61554025504
7332362162
oct114427220
941673254
1020065936
1110365920
126878294
134207447
142944932
151b656e1
hex1322e90

20065936 has 40 divisors (see below), whose sum is σ = 44265024. Its totient is φ = 8722560.

The previous prime is 20065931. The next prime is 20065939. The reversal of 20065936 is 63956002.

It is a junction number, because it is equal to n+sod(n) for n = 20065898 and 20065907.

It is not an unprimeable number, because it can be changed into a prime (20065931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570 + ... + 6526.

Almost surely, 220065936 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 20065936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22132512).

20065936 is an abundant number, since it is smaller than the sum of its proper divisors (24199088).

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

20065936 is a wasteful number, since it uses less digits than its factorization.

20065936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 20065936 is about 4479.5017580084. The cubic root of 20065936 is about 271.7397308507.

The spelling of 20065936 in words is "twenty million, sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 4957 9914 19828 39656 54527 79312 109054 114011 218108 228022 436216 456044 872432 912088 1254121 1824176 2508242 5016484 10032968 20065936