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20021940 = 22325412713
BaseRepresentation
bin100110001100…
…0001010110100
31101200012221100
41030120022310
520111200230
61553050100
7332120001
oct114301264
941605840
1020021940
1110335864
126856930
1341c0403
1429328a8
151b57660
hex13182b4

20021940 has 72 divisors (see below), whose sum is σ = 62237448. Its totient is φ = 5207040.

The previous prime is 20021917. The next prime is 20021951. The reversal of 20021940 is 4912002.

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 17338896 = 1638^2 + 4164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6024 + ... + 8736.

It is an arithmetic number, because the mean of its divisors is an integer number (864409).

Almost surely, 220021940 is an apocalyptic number.

20021940 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 20021940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118724).

20021940 is an abundant number, since it is smaller than the sum of its proper divisors (42215508).

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

20021940 is a wasteful number, since it uses less digits than its factorization.

20021940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20021940 is about 4474.5882492136. The cubic root of 20021940 is about 271.5409825907.

Adding to 20021940 its reverse (4912002), we get a palindrome (24933942).

The spelling of 20021940 in words is "twenty million, twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 2713 3690 5426 7380 8139 10852 13565 16278 24417 27130 32556 40695 48834 54260 81390 97668 111233 122085 162780 222466 244170 333699 444932 488340 556165 667398 1001097 1112330 1334796 1668495 2002194 2224660 3336990 4004388 5005485 6673980 10010970 20021940