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1337124820 = 22566856241
BaseRepresentation
bin100111110110010…
…1110011111010100
310110012000222102111
41033230232133110
510214300443240
6340403120404
745064242043
oct11754563724
93405028374
101337124820
11626854739
12313973104
13184035c25
14c982655a
157c5c51ea
hex4fb2e7d4

1337124820 has 12 divisors (see below), whose sum is σ = 2807962164. Its totient is φ = 534849920.

The previous prime is 1337124799. The next prime is 1337124821. The reversal of 1337124820 is 284217331.

It can be written as a sum of positive squares in 2 ways, for example, as 905648836 + 431475984 = 30094^2 + 20772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337124821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33428101 + ... + 33428140.

It is an arithmetic number, because the mean of its divisors is an integer number (233996847).

Almost surely, 21337124820 is an apocalyptic number.

1337124820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337124820 is an abundant number, since it is smaller than the sum of its proper divisors (1470837344).

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

1337124820 is a wasteful number, since it uses less digits than its factorization.

1337124820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66856250 (or 66856248 counting only the distinct ones).

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

The square root of 1337124820 is about 36566.7173807002. The cubic root of 1337124820 is about 1101.6846967351.

The spelling of 1337124820 in words is "one billion, three hundred thirty-seven million, one hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 66856241 133712482 267424964 334281205 668562410 1337124820