Search a number
-
+
1138043160 = 233254373517
BaseRepresentation
bin100001111010101…
…0010100100011000
32221022102120201200
41003311102210120
54312314340120
6304532114200
740126131042
oct10365224430
92838376650
101138043160
11534439741
12279165960
13151a10927
14ab202a92
1569d9ce90
hex43d52918

1138043160 has 96 divisors (see below), whose sum is σ = 3784706640. Its totient is φ = 296416512.

The previous prime is 1138043149. The next prime is 1138043161. The reversal of 1138043160 is 613408311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138043161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21279 + ... + 52238.

Almost surely, 21138043160 is an apocalyptic number.

1138043160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138043160 is an abundant number, since it is smaller than the sum of its proper divisors (2646663480).

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

1138043160 is a wasteful number, since it uses less digits than its factorization.

1138043160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73577 (or 73570 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1138043160 is about 33734.8952866316. The cubic root of 1138043160 is about 1044.0458648983.

It can be divided in two parts, 113804 and 3160, that added together give a square (116964 = 3422).

The spelling of 1138043160 in words is "one billion, one hundred thirty-eight million, forty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 73517 147034 220551 294068 367585 441102 588136 661653 735170 882204 1102755 1323306 1470340 1764408 2205510 2646612 2940680 3161231 3308265 4411020 5293224 6322462 6616530 8822040 9483693 12644924 13233060 15806155 18967386 25289848 26466120 28451079 31612310 37934772 47418465 56902158 63224620 75869544 94836930 113804316 126449240 142255395 189673860 227608632 284510790 379347720 569021580 1138043160