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42683340 = 22357101627
BaseRepresentation
bin1010001011010…
…0101111001100
32222022112112110
42202310233030
541411331330
64122504020
71025542140
oct242645714
988275473
1042683340
1122103697
1212365010
138ac601b
145951220
153b31db0
hex28b4bcc

42683340 has 48 divisors (see below), whose sum is σ = 136588032. Its totient is φ = 9756096.

The previous prime is 42683339. The next prime is 42683341. The reversal of 42683340 is 4338624.

42683340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42683339) and next prime (42683341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42683298 and 42683307.

It is not an unprimeable number, because it can be changed into a prime (42683341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50394 + ... + 51233.

It is an arithmetic number, because the mean of its divisors is an integer number (2845584).

Almost surely, 242683340 is an apocalyptic number.

It is an amenable number.

42683340 is an abundant number, since it is smaller than the sum of its proper divisors (93904692).

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

42683340 is a wasteful number, since it uses less digits than its factorization.

42683340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101646 (or 101644 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 42683340 is about 6533.2488089770. The cubic root of 42683340 is about 349.4776971489.

The spelling of 42683340 in words is "forty-two million, six hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 101627 203254 304881 406508 508135 609762 711389 1016270 1219524 1422778 1524405 2032540 2134167 2845556 3048810 3556945 4268334 6097620 7113890 8536668 10670835 14227780 21341670 42683340