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42980 = 2257307
BaseRepresentation
bin1010011111100100
32011221212
422133210
52333410
6530552
7236210
oct123744
964855
1042980
112a323
1220a58
1316742
1411940
15cb05
hexa7e4

42980 has 24 divisors (see below), whose sum is σ = 103488. Its totient is φ = 14688.

The previous prime is 42979. The next prime is 42989. The reversal of 42980 is 8924.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42980.

It is not an unprimeable number, because it can be changed into a prime (42989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

242980 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 42980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

42980 is an abundant number, since it is smaller than the sum of its proper divisors (60508).

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

42980 is a wasteful number, since it uses less digits than its factorization.

42980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 42980 is about 207.3161836423. The cubic root of 42980 is about 35.0285481366.

The spelling of 42980 in words is "forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 307 614 1228 1535 2149 3070 4298 6140 8596 10745 21490 42980