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11312532 = 22327211253
BaseRepresentation
bin101011001001…
…110110010100
3210021201212200
4223021312110
510344000112
61042244500
7165104100
oct53116624
923251780
1011312532
116427300
123956730
13246110a
141706900
15ed6cdc
hexac9d94

11312532 has 162 divisors, whose sum is σ = 37253034. Its totient is φ = 2882880.

The previous prime is 11312519. The next prime is 11312537. The reversal of 11312532 is 23521311.

11312532 is a `hidden beast` number, since 1 + 131 + 2 + 532 = 666.

11312532 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 only one way, i.e., 10458756 + 853776 = 3234^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312537) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 213418 + ... + 213470.

It is an arithmetic number, because the mean of its divisors is an integer number (229957).

Almost surely, 211312532 is an apocalyptic number.

11312532 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 11312532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626517).

11312532 is an abundant number, since it is smaller than the sum of its proper divisors (25940502).

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

11312532 is a wasteful number, since it uses less digits than its factorization.

11312532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11312532 is about 3363.4107688476. The cubic root of 11312532 is about 224.4846278266.

Adding to 11312532 its reverse (23521311), we get a palindrome (34833843).

It can be divided in two parts, 1131 and 2532, that added together give a palindrome (3663).

The spelling of 11312532 in words is "eleven million, three hundred twelve thousand, five hundred thirty-two".