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11252032 = 261121453
BaseRepresentation
bin101010111011…
…000101000000
3210011122212221
4222323011000
510340031112
61041100424
7164432521
oct52730500
923148787
1011252032
116395900
123927714
13243c70c
1416cc848
15ec3e07
hexabb140

11252032 has 42 divisors (see below), whose sum is σ = 24559514. Its totient is φ = 5111040.

The previous prime is 11252027. The next prime is 11252051. The reversal of 11252032 is 23025211.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 69696 = 3344^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11251997 and 11252015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7018 + ... + 8470.

Almost surely, 211252032 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 11252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279757).

11252032 is an abundant number, since it is smaller than the sum of its proper divisors (13307482).

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

11252032 is a wasteful number, since it uses less digits than its factorization.

11252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11252032 is about 3354.4048652481. The cubic root of 11252032 is about 224.0837272038.

Adding to 11252032 its reverse (23025211), we get a palindrome (34277243).

The spelling of 11252032 in words is "eleven million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1453 1936 2906 3872 5812 7744 11624 15983 23248 31966 46496 63932 92992 127864 175813 255728 351626 511456 703252 1022912 1406504 2813008 5626016 11252032