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42356130 = 2351923911
BaseRepresentation
bin1010000110010…
…0110110100010
32221200220200120
42201210312202
541320344010
64111501110
71023010155
oct241446642
987626616
1042356130
11219aa873
1212227796
138a100cb
1458a7c9c
153ab9e70
hex2864da2

42356130 has 48 divisors (see below), whose sum is σ = 107313984. Its totient is φ = 10697760.

The previous prime is 42356123. The next prime is 42356173. The reversal of 42356130 is 3165324.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42356130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8875 + ... + 12785.

It is an arithmetic number, because the mean of its divisors is an integer number (2235708).

Almost surely, 242356130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42356130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53656992).

42356130 is an abundant number, since it is smaller than the sum of its proper divisors (64957854).

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

42356130 is a wasteful number, since it uses less digits than its factorization.

42356130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42356130 is about 6508.1587257841. The cubic root of 42356130 is about 348.5823747058.

It can be divided in two parts, 42356 and 130, that added together give a triangular number (42486 = T291).

The spelling of 42356130 in words is "forty-two million, three hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 3911 5415 7822 10830 11733 19555 23466 39110 58665 74309 117330 148618 222927 371545 445854 743090 1114635 1411871 2229270 2823742 4235613 7059355 8471226 14118710 21178065 42356130