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4040040 = 2335131257
BaseRepresentation
bin1111011010010101101000
321121020220010
433122111220
52013240130
6222331520
746224354
oct17322550
97536803
104040040
11230a384
121429ba0
13ab5b74
14772464
1554c0b0
hex3da568

4040040 has 64 divisors (see below), whose sum is σ = 12260160. Its totient is φ = 1064960.

The previous prime is 4040021. The next prime is 4040041. The reversal of 4040040 is 400404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 4039998 and 4040025.

It is not an unprimeable number, because it can be changed into a prime (4040041) 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, 15592 + ... + 15848.

It is an arithmetic number, because the mean of its divisors is an integer number (191565).

Almost surely, 24040040 is an apocalyptic number.

4040040 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 4040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130080).

4040040 is an abundant number, since it is smaller than the sum of its proper divisors (8220120).

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

4040040 is a wasteful number, since it uses less digits than its factorization.

4040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4040040 is about 2009.9850745715. The cubic root of 4040040 is about 159.2680104693.

Adding to 4040040 its reverse (400404), we get a palindrome (4440444).

The spelling of 4040040 in words is "four million, forty thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 257 262 393 514 524 655 771 786 1028 1048 1285 1310 1542 1572 1965 2056 2570 2620 3084 3144 3855 3930 5140 5240 6168 7710 7860 10280 15420 15720 30840 33667 67334 101001 134668 168335 202002 269336 336670 404004 505005 673340 808008 1010010 1346680 2020020 4040040