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1263780040 = 23531594501
BaseRepresentation
bin100101101010011…
…1100000011001000
310021002000200022011
41023110330003020
510042011430130
6325223105304
743213644625
oct11324740310
93232020264
101263780040
11599409716
122b32a2234
13171a95b53
14bdbb334c
1575e3852a
hex4b53c0c8

1263780040 has 16 divisors (see below), whose sum is σ = 2843505180. Its totient is φ = 505512000.

The previous prime is 1263779999. The next prime is 1263780043. The reversal of 1263780040 is 400873621.

It can be written as a sum of positive squares in 2 ways, for example, as 1017227236 + 246552804 = 31894^2 + 15702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1263779984 and 1263780011.

It is not an unprimeable number, because it can be changed into a prime (1263780043) 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, 15797211 + ... + 15797290.

Almost surely, 21263780040 is an apocalyptic number.

1263780040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263780040 is an abundant number, since it is smaller than the sum of its proper divisors (1579725140).

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

1263780040 is a wasteful number, since it uses less digits than its factorization.

1263780040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31594512 (or 31594508 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1263780040 is about 35549.6841054882. The cubic root of 1263780040 is about 1081.1613136744.

The spelling of 1263780040 in words is "one billion, two hundred sixty-three million, seven hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 31594501 63189002 126378004 157972505 252756008 315945010 631890020 1263780040