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36140832 = 25327213197
BaseRepresentation
bin1000100111011…
…1011100100000
32112000010220100
42021313130200
533223001312
63330342400
7616122600
oct211673440
975003810
1036140832
1119445162
121012aa00
137645110
144b2ac00
15328d5dc
hex2277720

36140832 has 216 divisors, whose sum is σ = 129405276. Its totient is φ = 9483264.

The previous prime is 36140821. The next prime is 36140851. The reversal of 36140832 is 23804163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 571536 = 5964^2 + 756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36140796 and 36140805.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183358 + ... + 183554.

Almost surely, 236140832 is an apocalyptic number.

36140832 is a gapful number since it is divisible by the number (32) 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 36140832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64702638).

36140832 is an abundant number, since it is smaller than the sum of its proper divisors (93264444).

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

36140832 is a wasteful number, since it uses less digits than its factorization.

36140832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36140832 is about 6011.7245445879. The cubic root of 36140832 is about 330.6227359548.

Adding to 36140832 its reverse (23804163), we get a palindrome (59944995).

The spelling of 36140832 in words is "thirty-six million, one hundred forty thousand, eight hundred thirty-two".