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20414940 = 22357133739
BaseRepresentation
bin100110111100…
…0000111011100
31102102012000220
41031320013130
520211234230
62005321340
7335344530
oct115700734
942365026
1020414940
1110584057
126a06250
1342ca260
1429d5bc0
151bd3d10
hex13781dc

20414940 has 96 divisors (see below), whose sum is σ = 70371840. Its totient is φ = 4306176.

The previous prime is 20414939. The next prime is 20414951. The reversal of 20414940 is 4941402.

It is a self number, because there is not a number n which added to its sum of digits gives 20414940.

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 31 ways as a sum of consecutive naturals, for example, 3591 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (733040).

Almost surely, 220414940 is an apocalyptic number.

20414940 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 20414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185920).

20414940 is an abundant number, since it is smaller than the sum of its proper divisors (49956900).

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

20414940 is a wasteful number, since it uses less digits than its factorization.

20414940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20414940 is about 4518.2894993570. The cubic root of 20414940 is about 273.3061279024.

The spelling of 20414940 in words is "twenty million, four hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3739 5460 7478 11217 14956 18695 22434 26173 37390 44868 48607 52346 56085 74780 78519 97214 104692 112170 130865 145821 157038 194428 224340 243035 261730 291642 314076 340249 392595 486070 523460 583284 680498 729105 785190 972140 1020747 1360996 1458210 1570380 1701245 2041494 2916420 3402490 4082988 5103735 6804980 10207470 20414940