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132113436 = 223713337359
BaseRepresentation
bin1111101111111…
…10010000011100
3100012121001120020
413313332100130
5232310112221
621035352140
73162642240
oct767762034
9305531506
10132113436
1168635864
12382b2650
13214a8740
1413790420
15b8e9ac6
hex7dfe41c

132113436 has 96 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 34642944.

The previous prime is 132113419. The next prime is 132113447. The reversal of 132113436 is 634311231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367825 + ... + 368183.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2132113436 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 132113436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

132113436 is an abundant number, since it is smaller than the sum of its proper divisors (249475044).

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

132113436 is a wasteful number, since it uses less digits than its factorization.

132113436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 132113436 is about 11494.0609011785. The cubic root of 132113436 is about 509.3101476445.

Adding to 132113436 its reverse (634311231), we get a palindrome (766424667).

The spelling of 132113436 in words is "one hundred thirty-two million, one hundred thirteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 337 359 364 546 674 718 1011 1077 1092 1348 1436 2022 2154 2359 2513 4044 4308 4381 4667 4718 5026 7077 7539 8762 9334 9436 10052 13143 14001 14154 15078 17524 18668 26286 28002 28308 30156 30667 32669 52572 56004 61334 65338 92001 98007 120983 122668 130676 184002 196014 241966 362949 368004 392028 483932 725898 846881 1451796 1572779 1693762 2540643 3145558 3387524 4718337 5081286 6291116 9436674 10162572 11009453 18873348 22018906 33028359 44037812 66056718 132113436