Search a number
-
+
42330132 = 223213151599
BaseRepresentation
bin1010000101111…
…0100000010100
32221122121000200
42201132200110
541314031012
64111140500
71022541315
oct241364024
987577020
1042330132
1121992289
1212214730
138a01320
14589c60c
153ab23dc
hex285e814

42330132 has 72 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 12916800.

The previous prime is 42330107. The next prime is 42330149. The reversal of 42330132 is 23103324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70369 + ... + 70967.

Almost surely, 242330132 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 42330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58094400).

42330132 is an abundant number, since it is smaller than the sum of its proper divisors (73858668).

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

42330132 is a wasteful number, since it uses less digits than its factorization.

42330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42330132 is about 6506.1610800840. The cubic root of 42330132 is about 348.5110406835.

Adding to 42330132 its reverse (23103324), we get a palindrome (65433456).

The spelling of 42330132 in words is "forty-two million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 453 468 599 604 906 1198 1359 1797 1812 1963 2396 2718 3594 3926 5391 5436 5889 7188 7787 7852 10782 11778 15574 17667 21564 23361 23556 31148 35334 46722 70083 70668 90449 93444 140166 180898 271347 280332 361796 542694 814041 1085388 1175837 1628082 2351674 3256164 3527511 4703348 7055022 10582533 14110044 21165066 42330132