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2402142660 = 2232513345237
BaseRepresentation
bin1000111100101101…
…1100100111000100
320012102001111020200
42033023130213010
514404422031120
61034210130500
7113345606241
oct21713344704
96172044220
102402142660
111022a46375
12570580a30
132c3888cb8
1418b05a5c8
15e0d4ae90
hex8f2dc9c4

2402142660 has 36 divisors (see below), whose sum is σ = 7286499948. Its totient is φ = 640571328.

The previous prime is 2402142641. The next prime is 2402142667. The reversal of 2402142660 is 662412042.

2402142660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1592967744 + 809174916 = 39912^2 + 28446^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2402142667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6672439 + ... + 6672798.

Almost surely, 22402142660 is an apocalyptic number.

2402142660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402142660 is an abundant number, since it is smaller than the sum of its proper divisors (4884357288).

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

2402142660 is a wasteful number, since it uses less digits than its factorization.

2402142660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345252 (or 13345247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2402142660 is about 49011.6584089949. The cubic root of 2402142660 is about 1339.2642169868.

The spelling of 2402142660 in words is "two billion, four hundred two million, one hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13345237 26690474 40035711 53380948 66726185 80071422 120107133 133452370 160142844 200178555 240214266 266904740 400357110 480428532 600535665 800714220 1201071330 2402142660