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20093940 = 22335127293
BaseRepresentation
bin100110010100…
…1101111110100
31101210212201000
41030221233310
520121001230
61554403300
7332536626
oct114515764
941725630
1020093940
1110384969
126890530
134217109
142950c16
151b6db60
hex1329bf4

20093940 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 5298048.

The previous prime is 20093929. The next prime is 20093947. The reversal of 20093940 is 4939002.

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 (20093947) 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, 68434 + ... + 68726.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 220093940 is an apocalyptic number.

20093940 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 20093940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

20093940 is an abundant number, since it is smaller than the sum of its proper divisors (43127820).

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

20093940 is a wasteful number, since it uses less digits than its factorization.

20093940 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20093940 is about 4482.6264622429. The cubic root of 20093940 is about 271.8660853201.

The spelling of 20093940 in words is "twenty million, ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 293 381 508 540 586 635 762 879 1143 1172 1270 1465 1524 1758 1905 2286 2540 2637 2930 3429 3516 3810 4395 4572 5274 5715 5860 6858 7620 7911 8790 10548 11430 13185 13716 15822 17145 17580 22860 26370 31644 34290 37211 39555 52740 68580 74422 79110 111633 148844 158220 186055 223266 334899 372110 446532 558165 669798 744220 1004697 1116330 1339596 1674495 2009394 2232660 3348990 4018788 5023485 6697980 10046970 20093940