Search a number
-
+
1152160520 = 235721095393
BaseRepresentation
bin100010010101100…
…1001001100001000
32222021222211002212
41010223021030020
54324423114040
6310154444252
740360126400
oct10453111410
92867884085
101152160520
11541401285
12281a33688
131549145b4
14ad039800
156b23ad65
hex44ac9308

1152160520 has 96 divisors (see below), whose sum is σ = 3043834200. Its totient is φ = 391329792.

The previous prime is 1152160511. The next prime is 1152160549. The reversal of 1152160520 is 250612511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1145010244 + 7150276 = 33838^2 + 2674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210944 + ... + 216336.

Almost surely, 21152160520 is an apocalyptic number.

1152160520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521917100).

1152160520 is an abundant number, since it is smaller than the sum of its proper divisors (1891673680).

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

1152160520 is a wasteful number, since it uses less digits than its factorization.

1152160520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1152160520 is about 33943.4900975135. The cubic root of 1152160520 is about 1048.3452454001.

The spelling of 1152160520 in words is "one billion, one hundred fifty-two million, one hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 109 140 196 218 245 280 392 436 490 545 763 872 980 1090 1526 1960 2180 3052 3815 4360 5341 5393 6104 7630 10682 10786 15260 21364 21572 26705 26965 30520 37751 42728 43144 53410 53930 75502 106820 107860 151004 188755 213640 215720 264257 302008 377510 528514 587837 755020 1057028 1175674 1321285 1510040 2114056 2351348 2642570 2939185 4114859 4702696 5285140 5878370 8229718 10570280 11756740 16459436 20574295 23513480 28804013 32918872 41148590 57608026 82297180 115216052 144020065 164594360 230432104 288040130 576080260 1152160520