[go: up one dir, main page]

Search a number
-
+
1115011320 = 233567138683
BaseRepresentation
bin100001001110101…
…1011100011111000
32212201002102222120
41002131123203320
54240420330240
6302350321240
736426303603
oct10235334370
92781072876
101115011320
11522438565
122714b9220
1314a008517
14a812933a
1567d4dad0
hex4275b8f8

1115011320 has 64 divisors (see below), whose sum is σ = 3394984320. Its totient is φ = 292896384.

The previous prime is 1115011309. The next prime is 1115011327. The reversal of 1115011320 is 231105111.

1115011320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11150113203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1115011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115011327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61302 + ... + 77381.

It is an arithmetic number, because the mean of its divisors is an integer number (53046630).

Almost surely, 21115011320 is an apocalyptic number.

1115011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1115011320 is an abundant number, since it is smaller than the sum of its proper divisors (2279973000).

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

1115011320 is a wasteful number, since it uses less digits than its factorization.

1115011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138764 (or 138760 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1115011320 is about 33391.7852173255. The cubic root of 1115011320 is about 1036.9546390119.

Adding to 1115011320 its reverse (231105111), we get a palindrome (1346116431).

The spelling of 1115011320 in words is "one billion, one hundred fifteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 138683 277366 416049 554732 693415 832098 1109464 1386830 1664196 2080245 2773660 3328392 4160490 5547320 8320980 9291761 16641960 18583522 27875283 37167044 46458805 55750566 74334088 92917610 111501132 139376415 185835220 223002264 278752830 371670440 557505660 1115011320