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1979314128 = 243211323449
BaseRepresentation
bin111010111111001…
…1110111111010000
312002221102120112200
41311332132333100
513023201023003
6524223323200
7100022615061
oct16576367720
95087376480
101979314128
119262a9000
12472a50500
132570b39bc
1414ac32568
15b8b786a3
hex75f9efd0

1979314128 has 240 divisors, whose sum is σ = 6371913600. Its totient is φ = 572436480.

The previous prime is 1979314109. The next prime is 1979314147. The reversal of 1979314128 is 8214139791.

It is an interprime number because it is at equal distance from previous prime (1979314109) and next prime (1979314147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4408048 + ... + 4408496.

It is an arithmetic number, because the mean of its divisors is an integer number (26549640).

Almost surely, 21979314128 is an apocalyptic number.

1979314128 is a gapful number since it is divisible by the number (18) 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 1979314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185956800).

1979314128 is an abundant number, since it is smaller than the sum of its proper divisors (4392599472).

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

1979314128 is a wasteful number, since it uses less digits than its factorization.

1979314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 488 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1979314128 is about 44489.4833415719. The cubic root of 1979314128 is about 1255.5622265701.

The spelling of 1979314128 in words is "one billion, nine hundred seventy-nine million, three hundred fourteen thousand, one hundred twenty-eight".