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1390051872 = 2532112113353
BaseRepresentation
bin101001011011010…
…1000001000100000
310120212121221200200
41102312220020200
510321323124442
6345533345200
746306150236
oct12266501040
93525557620
101390051872
11653714600
12329638200
13191ca7701
14d2882956
158207c34c
hex52da8220

1390051872 has 216 divisors, whose sum is σ = 4395858012. Its totient is φ = 416317440.

The previous prime is 1390051771. The next prime is 1390051891. The reversal of 1390051872 is 2781500931.

1390051872 is a `hidden beast` number, since 139 + 0 + 0 + 518 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1205200656 + 184851216 = 34716^2 + 13596^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3937648 + ... + 3938000.

Almost surely, 21390051872 is an apocalyptic number.

1390051872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197929006).

1390051872 is an abundant number, since it is smaller than the sum of its proper divisors (3005806140).

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

1390051872 is a wasteful number, since it uses less digits than its factorization.

1390051872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1390051872 is about 37283.3994158258. The cubic root of 1390051872 is about 1116.0329122756.

The spelling of 1390051872 in words is "one billion, three hundred ninety million, fifty-one thousand, eight hundred seventy-two".