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40023360 = 26325131069
BaseRepresentation
bin1001100010101…
…1010101000000
32210022101201200
42120223111000
540221221420
63545501200
7664123116
oct230532500
983271650
1040023360
1120657163
12114a1800
1383a4380
14545bab6
1537a8b90
hex262b540

40023360 has 168 divisors, whose sum is σ = 148391880. Its totient is φ = 9842688.

The previous prime is 40023359. The next prime is 40023397. The reversal of 40023360 is 6332004.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 39538944 = 696^2 + 6288^2 .

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, 36906 + ... + 37974.

It is an arithmetic number, because the mean of its divisors is an integer number (883285).

Almost surely, 240023360 is an apocalyptic number.

40023360 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 40023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74195940).

40023360 is an abundant number, since it is smaller than the sum of its proper divisors (108368520).

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

40023360 is a wasteful number, since it uses less digits than its factorization.

40023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40023360 is about 6326.4018209406. The cubic root of 40023360 is about 342.0617514431.

Adding to 40023360 its reverse (6332004), we get a palindrome (46355364).

The spelling of 40023360 in words is "forty million, twenty-three thousand, three hundred sixty".