Search a number
-
+
42330420 = 223251121379
BaseRepresentation
bin1010000101111…
…0100100110100
32221122121102100
42201132210310
541314033140
64111142100
71022542206
oct241364464
987577370
1042330420
1121992520
1212214930
138a014b2
14589c776
153ab2530
hex285e934

42330420 has 72 divisors (see below), whose sum is σ = 140081760. Its totient is φ = 10261440.

The previous prime is 42330389. The next prime is 42330427. The reversal of 42330420 is 2403324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42330393 and 42330402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42330427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8710 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (1945580).

Almost surely, 242330420 is an apocalyptic number.

It is an amenable number.

42330420 is an abundant number, since it is smaller than the sum of its proper divisors (97751340).

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

42330420 is a wasteful number, since it uses less digits than its factorization.

42330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21405 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42330420 is about 6506.1832129137. The cubic root of 42330420 is about 348.5118310657.

Adding to 42330420 its reverse (2403324), we get a palindrome (44733744).

It can be divided in two parts, 423304 and 20, that added together give a palindrome (423324).

The spelling of 42330420 in words is "forty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21379 42758 64137 85516 106895 128274 192411 213790 235169 256548 320685 384822 427580 470338 641370 705507 769644 940676 962055 1175845 1282740 1411014 1924110 2116521 2351690 2822028 3527535 3848220 4233042 4703380 7055070 8466084 10582605 14110140 21165210 42330420