[go: up one dir, main page]

Search a number
-
+
10590132 = 2237139907
BaseRepresentation
bin101000011001…
…011110110100
3201221000221010
4220121132310
510202341012
61014552220
7156005010
oct50313664
921830833
1010590132
115a83583
123668670
13226a367
141599540
15de2c3c
hexa197b4

10590132 has 48 divisors (see below), whose sum is σ = 28474880. Its totient is φ = 3000672.

The previous prime is 10590131. The next prime is 10590137. The reversal of 10590132 is 23109501.

10590132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105901322 = 224301791554848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10590099 and 10590108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10590131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223 + ... + 12129.

Almost surely, 210590132 is an apocalyptic number.

10590132 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 10590132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237440).

10590132 is an abundant number, since it is smaller than the sum of its proper divisors (17884748).

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

10590132 is a wasteful number, since it uses less digits than its factorization.

10590132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10590132 is about 3254.2483002992. The cubic root of 10590132 is about 219.6007358942.

Adding to 10590132 its reverse (23109501), we get a palindrome (33699633).

The spelling of 10590132 in words is "ten million, five hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 907 973 1668 1814 1946 2721 2919 3628 3892 5442 5838 6349 10884 11676 12698 19047 25396 38094 76188 126073 252146 378219 504292 756438 882511 1512876 1765022 2647533 3530044 5295066 10590132