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1115140120 = 235591313607
BaseRepresentation
bin100001001110111…
…1011000000011000
32212201022222122221
41002131323000120
54240433440440
6302353153424
736430351243
oct10235730030
92781288587
101115140120
11522516306
1227155b874
1314a052033
14a816025a
1567d76d4a
hex4277b018

1115140120 has 64 divisors (see below), whose sum is σ = 2571782400. Its totient is φ = 435027840.

The previous prime is 1115140079. The next prime is 1115140139. The reversal of 1115140120 is 210415111.

It is a super-2 number, since 2×11151401202 = 2487074974467228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1115140094 and 1115140103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 307357 + ... + 310963.

It is an arithmetic number, because the mean of its divisors is an integer number (40184100).

Almost surely, 21115140120 is an apocalyptic number.

1115140120 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 1115140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285891200).

1115140120 is an abundant number, since it is smaller than the sum of its proper divisors (1456642280).

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

1115140120 is a wasteful number, since it uses less digits than its factorization.

1115140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1115140120 is about 33393.7137796921. The cubic root of 1115140120 is about 1036.9945652479.

Adding to 1115140120 its reverse (210415111), we get a palindrome (1325555231).

The spelling of 1115140120 in words is "one billion, one hundred fifteen million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 131 236 262 295 472 524 590 655 1048 1180 1310 2360 2620 3607 5240 7214 7729 14428 15458 18035 28856 30916 36070 38645 61832 72140 77290 144280 154580 212813 309160 425626 472517 851252 945034 1064065 1702504 1890068 2128130 2362585 3780136 4256260 4725170 8512520 9450340 18900680 27878503 55757006 111514012 139392515 223028024 278785030 557570060 1115140120