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40023040 = 21057817
BaseRepresentation
bin1001100010101…
…1010000000000
32210022101021211
42120223100000
540221214130
63545455504
7664122151
oct230532000
983271254
1040023040
11206569a2
12114a1594
1383a4195
14545b928
1537a8a2a
hex262b400

40023040 has 44 divisors (see below), whose sum is σ = 96020676. Its totient is φ = 16007168.

The previous prime is 40023007. The next prime is 40023041. The reversal of 40023040 is 4032004.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 35426304 = 2144^2 + 5952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40023040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1212 + ... + 9028.

Almost surely, 240023040 is an apocalyptic number.

40023040 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 40023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48010338).

40023040 is an abundant number, since it is smaller than the sum of its proper divisors (55997636).

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

40023040 is an equidigital number, since it uses as much as digits as its factorization.

40023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 40023040 is about 6326.3765300526. The cubic root of 40023040 is about 342.0608398084.

Adding to 40023040 its reverse (4032004), we get a palindrome (44055044).

The spelling of 40023040 in words is "forty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 7817 15634 31268 39085 62536 78170 125072 156340 250144 312680 500288 625360 1000576 1250720 2001152 2501440 4002304 5002880 8004608 10005760 20011520 40023040