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1379100240 = 2432572311897
BaseRepresentation
bin101001000110011…
…0110011001010000
310120010000112212200
41102030312121100
510311022201430
6344502523200
746114105260
oct12214663120
93503015780
101379100240
11648514471
12325a36500
1318c94195b
14d12317a0
1581117460
hex52336650

1379100240 has 240 divisors, whose sum is σ = 5523717888. Its totient is φ = 301492224.

The previous prime is 1379100211. The next prime is 1379100241. The reversal of 1379100240 is 420019731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379100241) 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 47 ways as a sum of consecutive naturals, for example, 109972 + ... + 121868.

Almost surely, 21379100240 is an apocalyptic number.

1379100240 is a gapful number since it is divisible by the number (10) 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 1379100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761858944).

1379100240 is an abundant number, since it is smaller than the sum of its proper divisors (4144617648).

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

1379100240 is a wasteful number, since it uses less digits than its factorization.

1379100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1379100240 is about 37136.2389048757. The cubic root of 1379100240 is about 1113.0942638296.

Adding to 1379100240 its reverse (420019731), we get a palindrome (1799119971).

The spelling of 1379100240 in words is "one billion, three hundred seventy-nine million, one hundred thousand, two hundred forty".