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21938136 = 23311233613
BaseRepresentation
bin101001110101…
…1111111011000
31112021120110120
41103223333120
521104010021
62102113240
7354320403
oct123537730
945246416
1021938136
11114244a0
12741b820
13471165c
142cb0d3a
151dd52c6
hex14ebfd8

21938136 has 64 divisors (see below), whose sum is σ = 62449920. Its totient is φ = 6357120.

The previous prime is 21938129. The next prime is 21938149. The reversal of 21938136 is 63183912.

21938136 = T353 + T354 + ... + T559.

It is a super-2 number, since 2×219381362 = 962563622308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 21938097 and 21938106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266 + ... + 7878.

It is an arithmetic number, because the mean of its divisors is an integer number (975780).

Almost surely, 221938136 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 21938136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224960).

21938136 is an abundant number, since it is smaller than the sum of its proper divisors (40511784).

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

21938136 is a wasteful number, since it uses less digits than its factorization.

21938136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3652 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 21938136 is about 4683.8163926439. The cubic root of 21938136 is about 279.9410420082.

The spelling of 21938136 in words is "twenty-one million, nine hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3613 6072 7226 10839 14452 21678 28904 39743 43356 79486 83099 86712 119229 158972 166198 238458 249297 317944 332396 476916 498594 664792 914089 953832 997188 1828178 1994376 2742267 3656356 5484534 7312712 10969068 21938136