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11064120 = 2335137673
BaseRepresentation
bin101010001101…
…001100111000
3202211010010020
4222031030320
510313022440
61033050440
7163020624
oct52151470
922733106
1011064120
116277701
123856a20
1323a5022
141680184
15e883d0
hexa8d338

11064120 has 64 divisors (see below), whose sum is σ = 33484320. Its totient is φ = 2924544.

The previous prime is 11064103. The next prime is 11064191. The reversal of 11064120 is 2146011.

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 11064120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16104 + ... + 16776.

Almost surely, 211064120 is an apocalyptic number.

11064120 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 11064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742160).

11064120 is an abundant number, since it is smaller than the sum of its proper divisors (22420200).

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

11064120 is a wasteful number, since it uses less digits than its factorization.

11064120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11064120 is about 3326.2771983104. The cubic root of 11064120 is about 222.8292982023.

The spelling of 11064120 in words is "eleven million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 673 685 822 1096 1346 1370 1644 2019 2055 2692 2740 3288 3365 4038 4110 5384 5480 6730 8076 8220 10095 13460 16152 16440 20190 26920 40380 80760 92201 184402 276603 368804 461005 553206 737608 922010 1106412 1383015 1844020 2212824 2766030 3688040 5532060 11064120