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1980467532 = 2232233796311
BaseRepresentation
bin111011000001011…
…1000100101001100
312010000121011201100
41312002320211030
513023444430112
6524304143100
7100035460551
oct16602704514
95100534640
101980467532
11926a1662a
12473307a90
132573c89a4
1414b052a28
15b8d052dc
hex760b894c

1980467532 has 72 divisors (see below), whose sum is σ = 5238455040. Its totient is φ = 629687520.

The previous prime is 1980467521. The next prime is 1980467537. The reversal of 1980467532 is 2357640891.

1980467532 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

1980467532 is a modest number, since divided by 467532 gives 1980 as remainder.

1980467532 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1980467537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310657 + ... + 316967.

It is an arithmetic number, because the mean of its divisors is an integer number (72756320).

It is a 1-persistent number, because it is pandigital, but 2⋅1980467532 = 3960935064 is not.

Almost surely, 21980467532 is an apocalyptic number.

1980467532 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 1980467532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619227520).

1980467532 is an abundant number, since it is smaller than the sum of its proper divisors (3257987508).

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

1980467532 is a wasteful number, since it uses less digits than its factorization.

1980467532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1980467532 is about 44502.4441126552. Note that the first 3 decimals coincide. The cubic root of 1980467532 is about 1255.8060634406.

The spelling of 1980467532 in words is "one billion, nine hundred eighty million, four hundred sixty-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 379 414 758 828 1137 1516 2274 3411 4548 6311 6822 8717 12622 13644 17434 18933 25244 26151 34868 37866 52302 56799 75732 78453 104604 113598 145153 156906 227196 290306 313812 435459 580612 870918 1306377 1741836 2391869 2612754 4783738 5225508 7175607 9567476 14351214 21526821 28702428 43053642 55012987 86107284 110025974 165038961 220051948 330077922 495116883 660155844 990233766 1980467532