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42143280 = 2435891973
BaseRepresentation
bin1010000011000…
…0111000110000
32221022002201020
42200300320300
541242041110
64103135440
71021132464
oct240607060
987262636
1042143280
1121874963
1212144580
13896726a
1458504a4
153a76d70
hex2830e30

42143280 has 80 divisors (see below), whose sum is σ = 132179040. Its totient is φ = 11106304.

The previous prime is 42143279. The next prime is 42143281. The reversal of 42143280 is 8234124.

It is an interprime number because it is at equal distance from previous prime (42143279) and next prime (42143281).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42143280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143281) 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, 20374 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (1652238).

Almost surely, 242143280 is an apocalyptic number.

42143280 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 42143280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66089520).

42143280 is an abundant number, since it is smaller than the sum of its proper divisors (90035760).

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

42143280 is a wasteful number, since it uses less digits than its factorization.

42143280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42143280 is about 6491.7855787141. The cubic root of 42143280 is about 347.9974897428.

The spelling of 42143280 in words is "forty-two million, one hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 1973 2136 2670 3560 3946 4272 5340 5919 7120 7892 9865 10680 11838 15784 19730 21360 23676 29595 31568 39460 47352 59190 78920 94704 118380 157840 175597 236760 351194 473520 526791 702388 877985 1053582 1404776 1755970 2107164 2633955 2809552 3511940 4214328 5267910 7023880 8428656 10535820 14047760 21071640 42143280