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40002040 = 23513431789
BaseRepresentation
bin1001100010011…
…0000111111000
32210021022111001
42120212013320
540220031130
63545214344
7664004011
oct230460770
983238431
1040002040
1120642141
12114913b4
138397760
145454008
1537a26ca
hex26261f8

40002040 has 64 divisors (see below), whose sum is σ = 99237600. Its totient is φ = 14418432.

The previous prime is 40002023. The next prime is 40002041. The reversal of 40002040 is 4020004.

40002040 is a nontrivial binomial coefficient, being equal to C(8945, 2).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21466 + ... + 23254.

Almost surely, 240002040 is an apocalyptic number.

40002040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40002040 is the 8944-th triangular number.

40002040 is the 2982-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49618800).

40002040 is an abundant number, since it is smaller than the sum of its proper divisors (59235560).

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

40002040 is a wasteful number, since it uses less digits than its factorization.

40002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40002040 is about 6324.7165944412. The cubic root of 40002040 is about 342.0010031547.

Adding to 40002040 its reverse (4020004), we get a palindrome (44022044).

The spelling of 40002040 in words is "forty million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 1789 2236 2795 3578 4472 5590 7156 8945 11180 14312 17890 22360 23257 35780 46514 71560 76927 93028 116285 153854 186056 232570 307708 384635 465140 615416 769270 930280 1000051 1538540 2000102 3077080 4000204 5000255 8000408 10000510 20001020 40002040