Search a number
-
+
1041105024 = 27321753161
BaseRepresentation
bin111110000011100…
…000000010000000
32200120000121121100
4332003200002000
54113010330044
6251150254400
734541150421
oct7603400200
92616017540
101041105024
11494749683
122507b7400
131378cc99b
149c3ab648
1561600869
hex3e0e0080

1041105024 has 96 divisors (see below), whose sum is σ = 3172176540. Its totient is φ = 326615040.

The previous prime is 1041104993. The next prime is 1041105029. The reversal of 1041105024 is 4205011401.

It can be written as a sum of positive squares in 2 ways, for example, as 983951424 + 57153600 = 31368^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1041104988 and 1041105006.

It is not an unprimeable number, because it can be changed into a prime (1041105029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6997 + ... + 46164.

Almost surely, 21041105024 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 1041105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586088270).

1041105024 is an abundant number, since it is smaller than the sum of its proper divisors (2131071516).

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

1041105024 is a wasteful number, since it uses less digits than its factorization.

1041105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53198 (or 53183 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1041105024 is about 32266.1591144654. The cubic root of 1041105024 is about 1013.5181118873.

Adding to 1041105024 its reverse (4205011401), we get a palindrome (5246116425).

The spelling of 1041105024 in words is "one billion, forty-one million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 53161 106322 159483 212644 318966 425288 478449 637932 850576 903737 956898 1275864 1701152 1807474 1913796 2551728 2711211 3402304 3614948 3827592 5103456 5422422 6804608 7229896 7655184 8133633 10206912 10844844 14459792 15310368 16267266 20413824 21689688 28919584 30620736 32534532 43379376 57839168 61241472 65069064 86758752 115678336 130138128 173517504 260276256 347035008 520552512 1041105024