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20841138 = 235193761
BaseRepresentation
bin100111110000…
…0001010110010
31110012211200000
41033200022302
520313404023
62022410430
7342101223
oct117401262
943184600
1020841138
111084528a
126b90a16
134419246
142aa724a
151c6a243
hex13e02b2

20841138 has 96 divisors (see below), whose sum is σ = 51455040. Its totient is φ = 6298560.

The previous prime is 20841113. The next prime is 20841179. The reversal of 20841138 is 83114802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341628 + ... + 341688.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 220841138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20841138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

20841138 is an abundant number, since it is smaller than the sum of its proper divisors (30613902).

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

20841138 is a wasteful number, since it uses less digits than its factorization.

20841138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20841138 is about 4565.2095242168. The cubic root of 20841138 is about 275.1949603734.

The spelling of 20841138 in words is "twenty million, eight hundred forty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 61 74 81 111 114 122 162 171 183 222 243 333 342 366 486 513 549 666 703 999 1026 1098 1159 1406 1539 1647 1998 2109 2257 2318 2997 3078 3294 3477 4218 4514 4617 4941 5994 6327 6771 6954 8991 9234 9882 10431 12654 13542 14823 17982 18981 20313 20862 29646 31293 37962 40626 42883 56943 60939 62586 85766 93879 113886 121878 128649 170829 182817 187758 257298 281637 341658 365634 385947 548451 563274 771894 1096902 1157841 2315682 3473523 6947046 10420569 20841138