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1979468080 = 245294571867
BaseRepresentation
bin111010111111100…
…0100100100110000
312002221201101201121
41311333010210300
513023220434310
6524230512024
7100024125652
oct16577044460
95087641647
101979468080
119263a3737
12472b05614
13257138ab5
1414ac726d2
15b8ba90da
hex75fc4930

1979468080 has 80 divisors (see below), whose sum is σ = 4773935520. Its totient is φ = 762402816.

The previous prime is 1979468059. The next prime is 1979468081. The reversal of 1979468080 is 808649791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1979468081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059307 + ... + 1061173.

It is an arithmetic number, because the mean of its divisors is an integer number (59674194).

Almost surely, 21979468080 is an apocalyptic number.

1979468080 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 1979468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386967760).

1979468080 is an abundant number, since it is smaller than the sum of its proper divisors (2794467440).

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

1979468080 is a wasteful number, since it uses less digits than its factorization.

1979468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1979468080 is about 44491.2135145806. The cubic root of 1979468080 is about 1255.5947784697.

The spelling of 1979468080 in words is "one billion, nine hundred seventy-nine million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 457 464 580 914 1160 1828 1867 2285 2320 3656 3734 4570 7312 7468 9140 9335 13253 14936 18280 18670 26506 29872 36560 37340 53012 54143 66265 74680 106024 108286 132530 149360 212048 216572 265060 270715 433144 530120 541430 853219 866288 1060240 1082860 1706438 2165720 3412876 4266095 4331440 6825752 8532190 13651504 17064380 24743351 34128760 49486702 68257520 98973404 123716755 197946808 247433510 395893616 494867020 989734040 1979468080