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40181820 = 22357293299
BaseRepresentation
bin1001100101001…
…0000000111100
32210121110002120
42121102000330
540241304240
63553122540
7665353110
oct231220074
983543076
1040181820
1120755218
1211559450
13842b533
14549d740
1537daad0
hex265203c

40181820 has 96 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 8865024.

The previous prime is 40181803. The next prime is 40181821. The reversal of 40181820 is 2818104.

It is a super-2 number, since 2×401818202 = 3229157317024800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40181821) 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, 10531 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 240181820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40181820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

40181820 is an abundant number, since it is smaller than the sum of its proper divisors (92874180).

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

40181820 is a wasteful number, since it uses less digits than its factorization.

40181820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 40181820 is about 6338.9131560544. The cubic root of 40181820 is about 342.5125858944.

Adding to 40181820 its reverse (2818104), we get a palindrome (42999924).

The spelling of 40181820 in words is "forty million, one hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 3299 4060 6090 6598 9897 12180 13196 16495 19794 23093 32990 39588 46186 49485 65980 69279 92372 95671 98970 115465 138558 191342 197940 230930 277116 287013 346395 382684 461860 478355 574026 669697 692790 956710 1148052 1339394 1385580 1435065 1913420 2009091 2678788 2870130 3348485 4018182 5740260 6696970 8036364 10045455 13393940 20090910 40181820