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40241120 = 255435849
BaseRepresentation
bin1001100110000…
…0011111100000
32210201110102212
42121200133200
540300203440
63554301252
7666021023
oct231403740
983643385
1040241120
1120795827
1211587828
13844c51a
1454b71ba
1537ed465
hex26607e0

40241120 has 48 divisors (see below), whose sum is σ = 97297200. Its totient is φ = 15719424.

The previous prime is 40241119. The next prime is 40241161. The reversal of 40241120 is 2114204.

It is a junction number, because it is equal to n+sod(n) for n = 40241095 and 40241104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3956 + ... + 9804.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 240241120 is an apocalyptic number.

40241120 is a gapful number since it is divisible by the number (40) 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 40241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648600).

40241120 is an abundant number, since it is smaller than the sum of its proper divisors (57056080).

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

40241120 is a wasteful number, since it uses less digits than its factorization.

40241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40241120 is about 6343.5888895798. The cubic root of 40241120 is about 342.6809954963.

Adding to 40241120 its reverse (2114204), we get a palindrome (42355324).

The spelling of 40241120 in words is "forty million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 5849 6880 11698 23396 29245 46792 58490 93584 116980 187168 233960 251507 467920 503014 935840 1006028 1257535 2012056 2515070 4024112 5030140 8048224 10060280 20120560 40241120