Search a number
-
+
1030440042 = 237892647
BaseRepresentation
bin111101011010110…
…100010001101010
32122210221210000000
4331122310101222
54102243040132
6250125523430
734351411242
oct7532642152
92583853000
101030440042
11489724945
12249113576
13135637548
149abd2b22
15606e587c
hex3d6b446a

1030440042 has 64 divisors (see below), whose sum is σ = 2345068800. Its totient is φ = 339492384.

The previous prime is 1030440029. The next prime is 1030440083. The reversal of 1030440042 is 2400440301.

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 = 1030439997 and 1030440024.

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, 387963 + ... + 390609.

It is an arithmetic number, because the mean of its divisors is an integer number (36641700).

Almost surely, 21030440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172534400).

1030440042 is an abundant number, since it is smaller than the sum of its proper divisors (1314628758).

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

1030440042 is an frugal number, since it uses more digits than its factorization.

1030440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

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

The square root of 1030440042 is about 32100.4679405145. The cubic root of 1030440042 is about 1010.0454320641.

Adding to 1030440042 its reverse (2400440301), we get a palindrome (3430880343).

The spelling of 1030440042 in words is "one billion, thirty million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2187 2403 2647 4374 4806 5294 7209 7941 14418 15882 21627 23823 43254 47646 64881 71469 129762 142938 194643 214407 235583 389286 428814 471166 643221 706749 1286442 1413498 1929663 2120247 3859326 4240494 5788989 6360741 11577978 12721482 19082223 38164446 57246669 114493338 171740007 343480014 515220021 1030440042