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20936340 = 22335137283
BaseRepresentation
bin100111111011…
…1011010010100
31110101200021000
41033313122110
520324430330
62024423300
7342645615
oct117673224
943350230
1020936340
11108aa867
127017b30
134450689
142acdc0c
151c88560
hex13f7694

20936340 has 96 divisors (see below), whose sum is σ = 65842560. Its totient is φ = 5522688.

The previous prime is 20936329. The next prime is 20936341. The reversal of 20936340 is 4363902.

20936340 is a `hidden beast` number, since 20 + 9 + 3 + 634 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20936341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73839 + ... + 74121.

It is an arithmetic number, because the mean of its divisors is an integer number (685860).

Almost surely, 220936340 is an apocalyptic number.

20936340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20936340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32921280).

20936340 is an abundant number, since it is smaller than the sum of its proper divisors (44906220).

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

20936340 is a wasteful number, since it uses less digits than its factorization.

20936340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20936340 is about 4575.6245475345. The cubic root of 20936340 is about 275.6133527403.

The spelling of 20936340 in words is "twenty million, nine hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 283 411 540 548 566 685 822 849 1132 1233 1370 1415 1644 1698 2055 2466 2547 2740 2830 3396 3699 4110 4245 4932 5094 5660 6165 7398 7641 8220 8490 10188 12330 12735 14796 15282 16980 18495 24660 25470 30564 36990 38205 38771 50940 73980 76410 77542 116313 152820 155084 193855 232626 348939 387710 465252 581565 697878 775420 1046817 1163130 1395756 1744695 2093634 2326260 3489390 4187268 5234085 6978780 10468170 20936340