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11000052 = 2232743651
BaseRepresentation
bin101001111101…
…100011110100
3202200212020100
4221331203310
510304000202
61031434100
7162333060
oct51754364
922625210
1011000052
116233558
123825930
132381b0b
141664aa0
15e7441c
hexa7d8f4

11000052 has 36 divisors (see below), whose sum is σ = 31778656. Its totient is φ = 3142800.

The previous prime is 11000027. The next prime is 11000053. The reversal of 11000052 is 25000011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×110000522 = 242002288005408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10999998 and 11000043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000053) 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, 21574 + ... + 22077.

Almost surely, 211000052 is an apocalyptic number.

11000052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000052 is an abundant number, since it is smaller than the sum of its proper divisors (20778604).

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

11000052 is a wasteful number, since it uses less digits than its factorization.

11000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43668 (or 43663 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11000052 is about 3316.6326296411. The cubic root of 11000052 is about 222.3983595017.

Adding to 11000052 its reverse (25000011), we get a palindrome (36000063).

The spelling of 11000052 in words is "eleven million, fifty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 43651 87302 130953 174604 261906 305557 392859 523812 611114 785718 916671 1222228 1571436 1833342 2750013 3666684 5500026 11000052