Search a number
-
+
1010555104 = 25132672789
BaseRepresentation
bin111100001110111…
…101100011100000
32121102112111222211
4330032331203200
54032200230404
6244135411504
734020401536
oct7416754340
92542474884
101010555104
11479483009
12242523b94
13131494600
14982d8156
155dab8b04
hex3c3bd8e0

1010555104 has 72 divisors (see below), whose sum is σ = 2187281880. Its totient is φ = 459283968.

The previous prime is 1010555057. The next prime is 1010555111. The reversal of 1010555104 is 4015550101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360942 + ... + 363730.

It is an arithmetic number, because the mean of its divisors is an integer number (30378915).

Almost surely, 21010555104 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 1010555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093640940).

1010555104 is an abundant number, since it is smaller than the sum of its proper divisors (1176726776).

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

1010555104 is a wasteful number, since it uses less digits than its factorization.

1010555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 1010555104 is about 31789.2293709678. The cubic root of 1010555104 is about 1003.5060611690.

The spelling of 1010555104 in words is "one billion, ten million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 169 208 268 338 416 536 676 871 1072 1352 1742 2144 2704 2789 3484 5408 5578 6968 11156 11323 13936 22312 22646 27872 36257 44624 45292 72514 89248 90584 145028 181168 186863 290056 362336 373726 471341 580112 747452 942682 1160224 1494904 1885364 2429219 2989808 3770728 4858438 5979616 7541456 9716876 15082912 19433752 31579847 38867504 63159694 77735008 126319388 252638776 505277552 1010555104