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42140420 = 22571811663
BaseRepresentation
bin1010000011000…
…0001100000100
32221021221210022
42200300030010
541241443140
64103114312
71021121240
oct240601404
987257708
1042140420
11218727a3
1212142998
138965b7a
14584d420
153a760b5
hex2830304

42140420 has 48 divisors (see below), whose sum is σ = 101756928. Its totient is φ = 14359680.

The previous prime is 42140419. The next prime is 42140443. The reversal of 42140420 is 2404124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24509 + ... + 26171.

It is an arithmetic number, because the mean of its divisors is an integer number (2119936).

Almost surely, 242140420 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 42140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50878464).

42140420 is an abundant number, since it is smaller than the sum of its proper divisors (59616508).

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

42140420 is a wasteful number, since it uses less digits than its factorization.

42140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 42140420 is about 6491.5652965983. The cubic root of 42140420 is about 347.9896174293.

Adding to 42140420 its reverse (2404124), we get a palindrome (44544544).

The spelling of 42140420 in words is "forty-two million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1663 1810 2534 3326 3620 5068 6335 6652 8315 11641 12670 16630 23282 25340 33260 46564 58205 116410 232820 301003 602006 1204012 1505015 2107021 3010030 4214042 6020060 8428084 10535105 21070210 42140420