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1116398160 = 243351730403
BaseRepresentation
bin100001010001010…
…1110001001010000
32212210200220101000
41002202232021100
54241244220120
6302440142000
736444141063
oct10242561120
92783626330
101116398160
115231a5509
12271a67900
1314a3a2837
14a83aa8da
1568024990
hex428ae250

1116398160 has 160 divisors (see below), whose sum is σ = 4071703680. Its totient is φ = 280184832.

The previous prime is 1116398137. The next prime is 1116398161. The reversal of 1116398160 is 618936111.

It is a happy number.

1116398160 is a `hidden beast` number, since 1 + 1 + 1 + 639 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116398161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21519 + ... + 51921.

It is an arithmetic number, because the mean of its divisors is an integer number (25448148).

Almost surely, 21116398160 is an apocalyptic number.

1116398160 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 1116398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035851840).

1116398160 is an abundant number, since it is smaller than the sum of its proper divisors (2955305520).

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

1116398160 is a wasteful number, since it uses less digits than its factorization.

1116398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30442 (or 30430 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1116398160 is about 33412.5449494647. The cubic root of 1116398160 is about 1037.3843788510.

The spelling of 1116398160 in words is "one billion, one hundred sixteen million, three hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 30403 36720 60806 91209 121612 152015 182418 243224 273627 304030 364836 456045 486448 516851 547254 608060 729672 820881 912090 1033702 1094508 1216120 1368135 1459344 1550553 1641762 1824180 2067404 2189016 2432240 2584255 2736270 3101106 3283524 3648360 4104405 4134808 4378032 4651659 5168510 5472540 6202212 6567048 7296720 7752765 8208810 8269616 9303318 10337020 10945080 12404424 13134096 13954977 15505530 16417620 18606636 20674040 21890160 23258295 24808848 27909954 31011060 32835240 37213272 41348080 46516590 55819908 62022120 65670480 69774885 74426544 93033180 111639816 124044240 139549770 186066360 223279632 279099540 372132720 558199080 1116398160