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2401363460 = 225120068173
BaseRepresentation
bin1000111100100001…
…1110011000000100
320012100120220101102
42033020132120010
514404222112320
61034141315232
7113336152436
oct21710363004
96170526342
102401363460
111022563a01
12570265b18
132c3675432
1418acd6656
15e0c45175
hex8f21e604

2401363460 has 12 divisors (see below), whose sum is σ = 5042863308. Its totient is φ = 960545376.

The previous prime is 2401363451. The next prime is 2401363463. The reversal of 2401363460 is 643631042.

It can be written as a sum of positive squares in 2 ways, for example, as 1391140804 + 1010222656 = 37298^2 + 31784^2 .

It is not an unprimeable number, because it can be changed into a prime (2401363463) 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 3 ways as a sum of consecutive naturals, for example, 60034067 + ... + 60034106.

It is an arithmetic number, because the mean of its divisors is an integer number (420238609).

Almost surely, 22401363460 is an apocalyptic number.

2401363460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401363460 is an abundant number, since it is smaller than the sum of its proper divisors (2641499848).

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

2401363460 is a wasteful number, since it uses less digits than its factorization.

2401363460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120068182 (or 120068180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2401363460 is about 49003.7086351635. The cubic root of 2401363460 is about 1339.1193924584.

The spelling of 2401363460 in words is "two billion, four hundred one million, three hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 120068173 240136346 480272692 600340865 1200681730 2401363460