Search a number
-
+
42130116 = 22327315393
BaseRepresentation
bin1010000010110…
…1101011000100
32221021102122200
42200231223010
541241130431
64102554500
71021046220
oct240555304
987242580
1042130116
1121865a86
1212138a30
138961282
145849780
153a72ee6
hex282dac4

42130116 has 72 divisors (see below), whose sum is σ = 125658624. Its totient is φ = 11646720.

The previous prime is 42130111. The next prime is 42130117. The reversal of 42130116 is 61103124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42130111) by changing a digit.

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, 5116 + ... + 10508.

Almost surely, 242130116 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 42130116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62829312).

42130116 is an abundant number, since it is smaller than the sum of its proper divisors (83528508).

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

42130116 is a wasteful number, since it uses less digits than its factorization.

42130116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42130116 is about 6490.7716028220. The cubic root of 42130116 is about 347.9612521265.

The spelling of 42130116 in words is "forty-two million, one hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 5393 7812 10786 16179 21572 32358 37751 48537 64716 75502 97074 113253 151004 167183 194148 226506 334366 339759 453012 501549 668732 679518 1003098 1170281 1359036 1504647 2006196 2340562 3009294 3510843 4681124 6018588 7021686 10532529 14043372 21065058 42130116