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20133936 = 2432891571
BaseRepresentation
bin100110011001…
…1100000110000
31101212220120100
41030303200300
520123241221
61555312400
7333064344
oct114634060
941786510
1020133936
1110401a19
1268ab700
13422c394
142961624
151b7a926
hex1333830

20133936 has 60 divisors (see below), whose sum is σ = 57016440. Its totient is φ = 6631680.

The previous prime is 20133889. The next prime is 20133937. The reversal of 20133936 is 63933102.

It is not an unprimeable number, because it can be changed into a prime (20133937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12031 + ... + 13601.

It is an arithmetic number, because the mean of its divisors is an integer number (950274).

Almost surely, 220133936 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 20133936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28508220).

20133936 is an abundant number, since it is smaller than the sum of its proper divisors (36882504).

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

20133936 is a wasteful number, since it uses less digits than its factorization.

20133936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 20133936 is about 4487.0854683191. The cubic root of 20133936 is about 272.0463444677.

It can be divided in two parts, 20 and 133936, that added together give a square (133956 = 3662).

The spelling of 20133936 in words is "twenty million, one hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1571 1602 2136 3142 3204 4272 4713 6284 6408 9426 12568 12816 14139 18852 25136 28278 37704 56556 75408 113112 139819 226224 279638 419457 559276 838914 1118552 1258371 1677828 2237104 2516742 3355656 5033484 6711312 10066968 20133936