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1379888640 = 293251317271
BaseRepresentation
bin101001000111111…
…0110111000000000
310120011111121100200
41102033312320000
510311222414030
6344531445200
746123600644
oct12217667000
93504447320
101379888640
11648a02839
12326156800
1318cb59770
14d1398c24
1581220d60
hex523f6e00

1379888640 has 480 divisors, whose sum is σ = 5469399936. Its totient is φ = 318504960.

The previous prime is 1379888599. The next prime is 1379888641. The reversal of 1379888640 is 468889731.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379888641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5091705 + ... + 5091975.

Almost surely, 21379888640 is an apocalyptic number.

1379888640 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 1379888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734699968).

1379888640 is an abundant number, since it is smaller than the sum of its proper divisors (4089511296).

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

1379888640 is a wasteful number, since it uses less digits than its factorization.

1379888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1379888640 is about 37146.8523565591. The cubic root of 1379888640 is about 1113.3063335829.

The spelling of 1379888640 in words is "one billion, three hundred seventy-nine million, eight hundred eighty-eight thousand, six hundred forty".