Search a number
-
+
42541140 = 223517179233
BaseRepresentation
bin1010001001001…
…0000001010100
32222001022110210
42202102001110
541342304030
64115445420
71024410435
oct242220124
988038423
1042541140
1122016874
12122b6870
138a76395
14591548c
153b04bb0
hex2892054

42541140 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 10571776.

The previous prime is 42541117. The next prime is 42541151. The reversal of 42541140 is 4114524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182464 + ... + 182696.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 242541140 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 42541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42541140 is an abundant number, since it is smaller than the sum of its proper divisors (84829740).

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

42541140 is a wasteful number, since it uses less digits than its factorization.

42541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42541140 is about 6522.3569359550. The cubic root of 42541140 is about 349.0891691487.

Adding to 42541140 its reverse (4114524), we get a palindrome (46655664).

The spelling of 42541140 in words is "forty-two million, five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 233 255 340 358 466 510 537 699 716 895 932 1020 1074 1165 1398 1790 2148 2330 2685 2796 3043 3495 3580 3961 4660 5370 6086 6990 7922 9129 10740 11883 12172 13980 15215 15844 18258 19805 23766 30430 36516 39610 41707 45645 47532 59415 60860 79220 83414 91290 118830 125121 166828 182580 208535 237660 250242 417070 500484 625605 709019 834140 1251210 1418038 2127057 2502420 2836076 3545095 4254114 7090190 8508228 10635285 14180380 21270570 42541140