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11231064 = 233213371
BaseRepresentation
bin101010110101…
…111101011000
3210010121010100
4222311331120
510333343224
61040415400
7164314425
oct52657530
923117110
1011231064
116381079
123917560
132433000
1416c4d4c
15ebcac9
hexab5f58

11231064 has 96 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3407040.

The previous prime is 11231047. The next prime is 11231069. The reversal of 11231064 is 46013211.

It is a happy number.

It is a super-2 number, since 2×112310642 = 252273597144192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231069) 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, 158149 + ... + 158219.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 211231064 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 11231064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11231064 is an abundant number, since it is smaller than the sum of its proper divisors (22184136).

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

11231064 is a wasteful number, since it uses less digits than its factorization.

11231064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11231064 is about 3351.2779651948. The cubic root of 11231064 is about 223.9444483843.

Adding to 11231064 its reverse (46013211), we get a palindrome (57244275).

It can be divided in two parts, 1123 and 1064, that added together give a 7-th power (2187 = 37).

The spelling of 11231064 in words is "eleven million, two hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 169 213 234 284 312 338 426 468 507 568 639 676 852 923 936 1014 1278 1352 1521 1704 1846 2028 2197 2556 2769 3042 3692 4056 4394 5112 5538 6084 6591 7384 8307 8788 11076 11999 12168 13182 16614 17576 19773 22152 23998 26364 33228 35997 39546 47996 52728 66456 71994 79092 95992 107991 143988 155987 158184 215982 287976 311974 431964 467961 623948 863928 935922 1247896 1403883 1871844 2807766 3743688 5615532 11231064