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20237940 = 22325293877
BaseRepresentation
bin100110100110…
…0111001110100
31102002012020100
41031030321310
520140103230
62001434100
7334006512
oct115147164
942065210
1020237940
1110473078
12693b930
134267818
14298b4b2
151b9b660
hex134ce74

20237940 has 72 divisors (see below), whose sum is σ = 63521640. Its totient is φ = 5209344.

The previous prime is 20237933. The next prime is 20237951. The reversal of 20237940 is 4973202.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 19395216 = 918^2 + 4404^2 .

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 23 ways as a sum of consecutive naturals, for example, 3282 + ... + 7158.

It is an arithmetic number, because the mean of its divisors is an integer number (882245).

Almost surely, 220237940 is an apocalyptic number.

20237940 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 20237940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31760820).

20237940 is an abundant number, since it is smaller than the sum of its proper divisors (43283700).

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

20237940 is a wasteful number, since it uses less digits than its factorization.

20237940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20237940 is about 4498.6598004295. The cubic root of 20237940 is about 272.5139683663.

The spelling of 20237940 in words is "twenty million, two hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3877 5220 7754 11631 15508 19385 23262 34893 38770 46524 58155 69786 77540 112433 116310 139572 174465 224866 232620 337299 348930 449732 562165 674598 697860 1011897 1124330 1349196 1686495 2023794 2248660 3372990 4047588 5059485 6745980 10118970 20237940