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20714940 = 2234519673
BaseRepresentation
bin100111100000…
…1010110111100
31102222102120000
41033001112330
520300334230
62015554300
7341034261
oct117012674
942872500
1020714940
1110769494
126b2b990
1343a397c
142a73268
151c42b60
hex13c15bc

20714940 has 120 divisors (see below), whose sum is σ = 68505360. Its totient is φ = 5225472.

The previous prime is 20714933. The next prime is 20714951. The reversal of 20714940 is 4941702.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30444 + ... + 31116.

It is an arithmetic number, because the mean of its divisors is an integer number (570878).

Almost surely, 220714940 is an apocalyptic number.

20714940 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 20714940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34252680).

20714940 is an abundant number, since it is smaller than the sum of its proper divisors (47790420).

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

20714940 is a wasteful number, since it uses less digits than its factorization.

20714940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20714940 is about 4551.3668276684. The cubic root of 20714940 is about 274.6383786757.

The spelling of 20714940 in words is "twenty million, seven hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 673 684 810 855 1026 1140 1346 1539 1620 1710 2019 2052 2565 2692 3078 3365 3420 4038 5130 6057 6156 6730 7695 8076 10095 10260 12114 12787 13460 15390 18171 20190 24228 25574 30285 30780 36342 38361 40380 51148 54513 60570 63935 72684 76722 90855 109026 115083 121140 127870 153444 181710 191805 218052 230166 255740 272565 345249 363420 383610 460332 545130 575415 690498 767220 1035747 1090260 1150830 1380996 1726245 2071494 2301660 3452490 4142988 5178735 6904980 10357470 20714940