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80462980 = 225133167149
BaseRepresentation
bin1001100101111…
…00010010000100
312121101221110101
410302330102010
5131044303410
611552333444
71664631643
oct462742204
9177357411
1080462980
1141468034
1222b44284
1313893040
14a98735a
1570e5d3a
hex4cbc484

80462980 has 96 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 28131840.

The previous prime is 80462969. The next prime is 80462981. The reversal of 80462980 is 8926408.

It is not an unprimeable number, because it can be changed into a prime (80462981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539946 + ... + 540094.

It is an arithmetic number, because the mean of its divisors is an integer number (1999200).

Almost surely, 280462980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80462980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

80462980 is an abundant number, since it is smaller than the sum of its proper divisors (111460220).

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

80462980 is a wasteful number, since it uses less digits than its factorization.

80462980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 80462980 is about 8970.1159412797. The cubic root of 80462980 is about 431.7165564662.

It can be divided in two parts, 8046 and 2980, that added together give a triangular number (11026 = T148).

The spelling of 80462980 in words is "eighty million, four hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 67 124 130 134 149 155 260 268 298 310 335 403 596 620 670 745 806 871 1340 1490 1612 1742 1937 2015 2077 2980 3484 3874 4030 4154 4355 4619 7748 8060 8308 8710 9238 9685 9983 10385 17420 18476 19370 19966 20770 23095 27001 38740 39932 41540 46190 49915 54002 60047 92380 99830 108004 120094 129779 135005 199660 240188 259558 270010 300235 309473 519116 540020 600470 618946 648895 1200940 1237892 1297790 1547365 2595580 3094730 4023149 6189460 8046298 16092596 20115745 40231490 80462980