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132022436 = 22713477717
BaseRepresentation
bin1111101111010…
…00000010100100
3100012102102201212
413313220002210
5232244204221
621033410552
73162113030
oct767500244
9305372655
10132022436
1168583457
1238269a58
13214761b0
14137691c0
15b8ccb5b
hex7de80a4

132022436 has 48 divisors (see below), whose sum is σ = 290443776. Its totient is φ = 51110784.

The previous prime is 132022421. The next prime is 132022477. The reversal of 132022436 is 634220231.

132022436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13250 + ... + 20966.

It is an arithmetic number, because the mean of its divisors is an integer number (6050912).

Almost surely, 2132022436 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 132022436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145221888).

132022436 is an abundant number, since it is smaller than the sum of its proper divisors (158421340).

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

132022436 is a wasteful number, since it uses less digits than its factorization.

132022436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 132022436 is about 11490.1016531622. The cubic root of 132022436 is about 509.1931828344.

Adding to 132022436 its reverse (634220231), we get a palindrome (766242667).

The spelling of 132022436 in words is "one hundred thirty-two million, twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 7717 8554 15434 17108 30868 54019 100321 108038 200642 216076 362699 401284 702247 725398 1404494 1450796 2538893 2808988 4715087 5077786 9430174 10155572 18860348 33005609 66011218 132022436