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406236040 = 23574730869
BaseRepresentation
bin11000001101101…
…010101110001000
31001022101221002021
4120031222232020
51312444023130
6104151014224
713031643430
oct3015525610
91038357067
10406236040
11199345171
12b406a374
1366215b72
143bd492c0
15259e637a
hex1836ab88

406236040 has 64 divisors (see below), whose sum is σ = 1066867200. Its totient is φ = 136313088.

The previous prime is 406236037. The next prime is 406236049. The reversal of 406236040 is 40632604.

It is a junction number, because it is equal to n+sod(n) for n = 406235996 and 406236014.

It is not an unprimeable number, because it can be changed into a prime (406236049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275 + ... + 28594.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2406236040 is an apocalyptic number.

406236040 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 406236040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

406236040 is an abundant number, since it is smaller than the sum of its proper divisors (660631160).

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

406236040 is a wasteful number, since it uses less digits than its factorization.

406236040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30934 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 406236040 is about 20155.2980627923. The cubic root of 406236040 is about 740.6155336313.

Adding to 406236040 its reverse (40632604), we get a palindrome (446868644).

The spelling of 406236040 in words is "four hundred six million, two hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 30869 61738 123476 154345 216083 246952 308690 432166 617380 864332 1080415 1234760 1450843 1728664 2160830 2901686 4321660 5803372 7254215 8643320 10155901 11606744 14508430 20311802 29016860 40623604 50779505 58033720 81247208 101559010 203118020 406236040