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42070280 = 2357347433
BaseRepresentation
bin1010000001111…
…1000100001000
32221011101120112
42200133010020
541232222110
64101413452
71020406610
oct240370410
987141515
1042070280
112182502a
121210a288
13893cc75
145831a40
153a60405
hex281f108

42070280 has 64 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 14349312.

The previous prime is 42070267. The next prime is 42070283. The reversal of 42070280 is 8207024.

It is a super-3 number, since 3×420702803 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42070283) 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, 96944 + ... + 97376.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 242070280 is an apocalyptic number.

42070280 is a gapful number since it is divisible by the number (40) 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 42070280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

42070280 is an abundant number, since it is smaller than the sum of its proper divisors (66672760).

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

42070280 is a wasteful number, since it uses less digits than its factorization.

42070280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 42070280 is about 6486.1606517261. The cubic root of 42070280 is about 347.7964414860.

The spelling of 42070280 in words is "forty-two million, seventy thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 347 433 694 866 1388 1732 1735 2165 2429 2776 3031 3464 3470 4330 4858 6062 6940 8660 9716 12124 12145 13880 15155 17320 19432 24248 24290 30310 48580 60620 97160 121240 150251 300502 601004 751255 1051757 1202008 1502510 2103514 3005020 4207028 5258785 6010040 8414056 10517570 21035140 42070280