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11054952 = 2332532897
BaseRepresentation
bin101010001010…
…111101101000
3202210122112200
4222022331220
510312224302
61032540200
7162652116
oct52127550
922718480
1011054952
116270827
123851660
1323a0abc
14167aab6
15e8581c
hexa8af68

11054952 has 48 divisors (see below), whose sum is σ = 30515940. Its totient is φ = 3614208.

The previous prime is 11054951. The next prime is 11054963. The reversal of 11054952 is 25945011.

11054952 is a `hidden beast` number, since 110 + 549 + 5 + 2 = 666.

11054952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10929636 + 125316 = 3306^2 + 354^2 .

It is not an unprimeable number, because it can be changed into a prime (11054951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2368 + ... + 5264.

Almost surely, 211054952 is an apocalyptic number.

11054952 is a gapful number since it is divisible by the number (12) 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 11054952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257970).

11054952 is an abundant number, since it is smaller than the sum of its proper divisors (19460988).

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

11054952 is a wasteful number, since it uses less digits than its factorization.

11054952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 11054952 is about 3324.8987954523. The cubic root of 11054952 is about 222.7677339288.

Adding to 11054952 its reverse (25945011), we get a palindrome (36999963).

The spelling of 11054952 in words is "eleven million, fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2897 3816 5794 8691 11588 17382 23176 26073 34764 52146 69528 104292 153541 208584 307082 460623 614164 921246 1228328 1381869 1842492 2763738 3684984 5527476 11054952