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20893626 = 235133307
BaseRepresentation
bin100111110110…
…0111110111010
31110022111200000
41033230332322
520322044001
62023453430
7342410235
oct117547672
943274600
1020893626
1110880766
126bb7276
1344370c0
142abc41c
151c7aa86
hex13ecfba

20893626 has 48 divisors (see below), whose sum is σ = 50572704. Its totient is φ = 6426864.

The previous prime is 20893603. The next prime is 20893643. The reversal of 20893626 is 62639802.

20893626 is a `hidden beast` number, since 20 + 8 + 9 + 3 + 626 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4665 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (1053598).

Almost surely, 220893626 is an apocalyptic number.

20893626 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20893626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286352).

20893626 is an abundant number, since it is smaller than the sum of its proper divisors (29679078).

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

20893626 is a wasteful number, since it uses less digits than its factorization.

20893626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20893626 is about 4570.9546048938. The cubic root of 20893626 is about 275.4257910828.

The spelling of 20893626 in words is "twenty million, eight hundred ninety-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 3307 6318 6614 9921 19842 29763 42991 59526 85982 89289 128973 178578 257946 267867 386919 535734 773838 803601 1160757 1607202 2321514 3482271 6964542 10446813 20893626