Search a number
-
+
42011140 = 22529113641
BaseRepresentation
bin1010000001000…
…0101000000100
32221001101110011
42200100220010
541223324030
64100240004
71020042313
oct240205004
987041404
1042011140
1121794656
12120a0004
13891c082
14581827a
153a4cb2a
hex2810a04

42011140 has 48 divisors (see below), whose sum is σ = 92216880. Its totient is φ = 16056320.

The previous prime is 42011119. The next prime is 42011153. The reversal of 42011140 is 4111024.

It can be written as a sum of positive squares in 8 ways, for example, as 948676 + 41062464 = 974^2 + 6408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42011140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65220 + ... + 65860.

It is an arithmetic number, because the mean of its divisors is an integer number (1921185).

Almost surely, 242011140 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 42011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46108440).

42011140 is an abundant number, since it is smaller than the sum of its proper divisors (50205740).

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

42011140 is a wasteful number, since it uses less digits than its factorization.

42011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 42011140 is about 6481.6001110837. The cubic root of 42011140 is about 347.6333942614.

Adding to 42011140 its reverse (4111024), we get a palindrome (46122164).

The spelling of 42011140 in words is "forty-two million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 641 1130 1282 2260 2564 3205 3277 6410 6554 12820 13108 16385 18589 32770 37178 65540 72433 74356 92945 144866 185890 289732 362165 371780 724330 1448660 2100557 4201114 8402228 10502785 21005570 42011140