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42232140 = 22325231012
BaseRepresentation
bin1010000100011…
…0100101001100
32221110121121100
42201012211030
541302412030
64105103100
71021652526
oct241064514
987417540
1042232140
11219256a5
1212187a90
138998842
145874a16
153a93360
hex284694c

42232140 has 108 divisors (see below), whose sum is σ = 135010512. Its totient is φ = 10665600.

The previous prime is 42232123. The next prime is 42232147. The reversal of 42232140 is 4123224.

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 (42232147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 418090 + ... + 418190.

Almost surely, 242232140 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 42232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67505256).

42232140 is an abundant number, since it is smaller than the sum of its proper divisors (92778372).

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

42232140 is a wasteful number, since it uses less digits than its factorization.

42232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42232140 is about 6498.6260086267. The cubic root of 42232140 is about 348.2419047352.

Adding to 42232140 its reverse (4123224), we get a palindrome (46355364).

The spelling of 42232140 in words is "forty-two million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 101 115 138 180 202 207 230 276 303 345 404 414 460 505 606 690 828 909 1010 1035 1212 1380 1515 1818 2020 2070 2323 3030 3636 4140 4545 4646 6060 6969 9090 9292 10201 11615 13938 18180 20402 20907 23230 27876 30603 34845 40804 41814 46460 51005 61206 69690 83628 91809 102010 104535 122412 139380 153015 183618 204020 209070 234623 306030 367236 418140 459045 469246 612060 703869 918090 938492 1173115 1407738 1836180 2111607 2346230 2815476 3519345 4223214 4692460 7038690 8446428 10558035 14077380 21116070 42232140