Search a number
-
+
10632128 = 26132983
BaseRepresentation
bin101000100011…
…101111000000
3202000011112112
4220203233000
510210212003
61015514452
7156241313
oct50435700
922004475
1010632128
116002091
123688a28
132283500
1415aa97a
15e003d8
hexa23bc0

10632128 has 42 divisors (see below), whose sum is σ = 22869144. Its totient is φ = 4902144.

The previous prime is 10632119. The next prime is 10632131. The reversal of 10632128 is 82123601.

It is a super-2 number, since 2×106321282 = 226084291616768, which contains 22 as substring.

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, 10325 + ... + 11307.

Almost surely, 210632128 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 10632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434572).

10632128 is an abundant number, since it is smaller than the sum of its proper divisors (12237016).

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

10632128 is an equidigital number, since it uses as much as digits as its factorization.

10632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10632128 is about 3260.6944045709. The cubic root of 10632128 is about 219.8906343468.

Adding to 10632128 its reverse (82123601), we get a palindrome (92755729).

The spelling of 10632128 in words is "ten million, six hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 983 1352 1966 2704 3932 5408 7864 10816 12779 15728 25558 31456 51116 62912 102232 166127 204464 332254 408928 664508 817856 1329016 2658032 5316064 10632128