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11130120 = 2332543719
BaseRepresentation
bin101010011101…
…010100001000
3202221110122200
4222131110020
510322130440
61034320200
7163414221
oct52352410
922843580
1011130120
116312251
123889060
1323c9091
14169a248
15e9cc30
hexa9d508

11130120 has 96 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 2894976.

The previous prime is 11130109. The next prime is 11130127. The reversal of 11130120 is 2103111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11130127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15121 + ... + 15839.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 211130120 is an apocalyptic number.

11130120 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 11130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

11130120 is an abundant number, since it is smaller than the sum of its proper divisors (25935480).

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

11130120 is a wasteful number, since it uses less digits than its factorization.

11130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11130120 is about 3336.1834481935. The cubic root of 11130120 is about 223.2714959612.

Adding to 11130120 its reverse (2103111), we get a palindrome (13233231).

The spelling of 11130120 in words is "eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 719 774 860 1032 1290 1438 1548 1720 1935 2157 2580 2876 3096 3595 3870 4314 5160 5752 6471 7190 7740 8628 10785 12942 14380 15480 17256 21570 25884 28760 30917 32355 43140 51768 61834 64710 86280 92751 123668 129420 154585 185502 247336 258840 278253 309170 371004 463755 556506 618340 742008 927510 1113012 1236680 1391265 1855020 2226024 2782530 3710040 5565060 11130120