Search a number
-
+
406166790 = 23533140903
BaseRepresentation
bin11000001101011…
…001110100000110
31001022021102002110
4120031121310012
51312434314130
6104145321450
713031234511
oct3015316406
91038242073
10406166790
111992a8137
12b4036286
13661c04a3
143bd2bd78
15259d0ab0
hex18359d06

406166790 has 32 divisors (see below), whose sum is σ = 977769216. Its totient is φ = 107981280.

The previous prime is 406166773. The next prime is 406166791. The reversal of 406166790 is 97661604.

It is a super-2 number, since 2×4061667902 = 329942922597808200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406166791) 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, 10522 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (30555288).

Almost surely, 2406166790 is an apocalyptic number.

406166790 is an abundant number, since it is smaller than the sum of its proper divisors (571602426).

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

406166790 is a wasteful number, since it uses less digits than its factorization.

406166790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41244.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 406166790 is about 20153.5800789835. The cubic root of 406166790 is about 740.5734476392.

The spelling of 406166790 in words is "four hundred six million, one hundred sixty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 331 662 993 1655 1986 3310 4965 9930 40903 81806 122709 204515 245418 409030 613545 1227090 13538893 27077786 40616679 67694465 81233358 135388930 203083395 406166790