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1980713280 = 263572134179
BaseRepresentation
bin111011000001111…
…0100100101000000
312010001001122211010
41312003310211000
513024030311110
6524313320520
7100040533200
oct16603644500
95101048733
101980713280
11927074227
12473406140
132574837c0
1414b0b8400
15b8d53020
hex760f4940

1980713280 has 672 divisors, whose sum is σ = 8172541440. Its totient is φ = 402554880.

The previous prime is 1980713279. The next prime is 1980713281. The reversal of 1980713280 is 823170891.

It is an interprime number because it is at equal distance from previous prime (1980713279) and next prime (1980713281).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980713281) 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 95 ways as a sum of consecutive naturals, for example, 25072281 + ... + 25072359.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 21980713280 is an apocalyptic number.

1980713280 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 1980713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086270720).

1980713280 is an abundant number, since it is smaller than the sum of its proper divisors (6191828160).

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

1980713280 is a wasteful number, since it uses less digits than its factorization.

1980713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1980713280 is about 44505.2050888433. The cubic root of 1980713280 is about 1255.8580038805.

The spelling of 1980713280 in words is "one billion, nine hundred eighty million, seven hundred thirteen thousand, two hundred eighty".