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406451120 = 2455080639
BaseRepresentation
bin11000001110011…
…111001110110000
31001022210212010012
4120032133032300
51313022413440
6104155354052
713033530455
oct3016371660
91038725105
10406451120
11199481819
12b4152928
136628ca2a
143bda382c
1525a39e65
hex1839f3b0

406451120 has 20 divisors (see below), whose sum is σ = 944999040. Its totient is φ = 162580416.

The previous prime is 406451107. The next prime is 406451131. The reversal of 406451120 is 21154604.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2540240 + ... + 2540399.

It is an arithmetic number, because the mean of its divisors is an integer number (47249952).

Almost surely, 2406451120 is an apocalyptic number.

406451120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406451120 is an abundant number, since it is smaller than the sum of its proper divisors (538547920).

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

406451120 is a wasteful number, since it uses less digits than its factorization.

406451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080652 (or 5080646 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 406451120 is about 20160.6329265725. The cubic root of 406451120 is about 740.7462158534.

The spelling of 406451120 in words is "four hundred six million, four hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5080639 10161278 20322556 25403195 40645112 50806390 81290224 101612780 203225560 406451120