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11384064 = 283661
BaseRepresentation
bin101011011011…
…010100000000
3210102101000000
4223123110000
510403242224
61044000000
7165522456
oct53332400
923371000
1011384064
11647601a
123990000
132487843
1417249d6
15eed0c9
hexadb500

11384064 has 126 divisors (see below), whose sum is σ = 34628426. Its totient is φ = 3732480.

The previous prime is 11384053. The next prime is 11384071. The reversal of 11384064 is 46048311.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 4665600 = 2592^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186594 + ... + 186654.

Almost surely, 211384064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314213).

11384064 is an abundant number, since it is smaller than the sum of its proper divisors (23244362).

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

11384064 is an frugal number, since it uses more digits than its factorization.

11384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11384064 is about 3374.0278599917. The cubic root of 11384064 is about 224.9567917029.

The spelling of 11384064 in words is "eleven million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 243 244 256 288 324 366 384 432 486 488 549 576 648 729 732 768 864 972 976 1098 1152 1296 1458 1464 1647 1728 1944 1952 2196 2304 2592 2916 2928 3294 3456 3888 3904 4392 4941 5184 5832 5856 6588 6912 7776 7808 8784 9882 10368 11664 11712 13176 14823 15552 15616 17568 19764 20736 23328 23424 26352 29646 31104 35136 39528 44469 46656 46848 52704 59292 62208 70272 79056 88938 93312 105408 118584 140544 158112 177876 186624 210816 237168 316224 355752 421632 474336 632448 711504 948672 1264896 1423008 1897344 2846016 3794688 5692032 11384064