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406013320 = 23510150333
BaseRepresentation
bin11000001100110…
…100010110001000
31001021222121120101
4120030310112020
51312414411240
6104142135144
713030025206
oct3014642610
91037877511
10406013320
111992028a9
12b3b814b4
136616868b
143bccc076
15259a039a
hex18334588

406013320 has 16 divisors (see below), whose sum is σ = 913530060. Its totient is φ = 162405312.

The previous prime is 406013317. The next prime is 406013327. The reversal of 406013320 is 23310604.

It can be written as a sum of positive squares in 2 ways, for example, as 398162116 + 7851204 = 19954^2 + 2802^2 .

It is not an unprimeable number, because it can be changed into a prime (406013327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5075127 + ... + 5075206.

Almost surely, 2406013320 is an apocalyptic number.

406013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406013320 is an abundant number, since it is smaller than the sum of its proper divisors (507516740).

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

406013320 is a wasteful number, since it uses less digits than its factorization.

406013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150344 (or 10150340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 406013320 is about 20149.7722071491. The cubic root of 406013320 is about 740.4801607370.

Adding to 406013320 its reverse (23310604), we get a palindrome (429323924).

The spelling of 406013320 in words is "four hundred six million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 10150333 20300666 40601332 50751665 81202664 101503330 203006660 406013320