Search a number
-
+
1056105024 = 263133113649
BaseRepresentation
bin111110111100101…
…110001001000000
32201121020200201220
4332330232021000
54130330330044
6252443555040
735112513252
oct7674561100
92647220656
101056105024
114a2164377
1225582ba80
1313aa52320
14a0393cd2
1562ab5019
hex3ef2e240

1056105024 has 112 divisors (see below), whose sum is σ = 3106521600. Its totient is φ = 314449920.

The previous prime is 1056105013. The next prime is 1056105067. The reversal of 1056105024 is 4205016501.

1056105024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10561050242 = 2230715643436081152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1056104985 and 1056105003.

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, 70552 + ... + 84200.

It is an arithmetic number, because the mean of its divisors is an integer number (27736800).

Almost surely, 21056105024 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 1056105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553260800).

1056105024 is an abundant number, since it is smaller than the sum of its proper divisors (2050416576).

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

1056105024 is a wasteful number, since it uses less digits than its factorization.

1056105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1056105024 is about 32497.7695234611. The cubic root of 1056105024 is about 1018.3624319513.

The spelling of 1056105024 in words is "one billion, fifty-six million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 13649 19344 25792 27298 38688 40947 54596 77376 81894 109192 163788 177437 218384 327576 354874 423119 436768 532311 655152 709748 846238 873536 1064622 1269357 1310304 1419496 1692476 2129244 2538714 2620608 2838992 3384952 4258488 5077428 5500547 5677984 6769904 8516976 10154856 11001094 11355968 13539808 16501641 17033952 20309712 22002188 27079616 33003282 34067904 40619424 44004376 66006564 81238848 88008752 132013128 176017504 264026256 352035008 528052512 1056105024