Search a number
-
+
132206448 = 24311337743
BaseRepresentation
bin1111110000101…
…00111101110000
3100012202210011010
413320110331300
5232321101243
621041350520
73163510353
oct770247560
9305683133
10132206448
1168699730
1238338440
132150bb8a
14137b629a
15b917433
hex7e14f70

132206448 has 80 divisors (see below), whose sum is σ = 374190336. Its totient is φ = 39889920.

The previous prime is 132206429. The next prime is 132206449. The reversal of 132206448 is 844602231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132206449) 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, 177565 + ... + 178307.

Almost surely, 2132206448 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 132206448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187095168).

132206448 is an abundant number, since it is smaller than the sum of its proper divisors (241983888).

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

132206448 is a wasteful number, since it uses less digits than its factorization.

132206448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 132206448 is about 11498.1062788618. The cubic root of 132206448 is about 509.4296430421.

Adding to 132206448 its reverse (844602231), we get a palindrome (976808679).

The spelling of 132206448 in words is "one hundred thirty-two million, two hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 674 743 1011 1348 1486 2022 2229 2696 2972 3707 4044 4458 5392 5944 7414 8088 8173 8916 11121 11888 14828 16176 16346 17832 22242 24519 29656 32692 35664 44484 49038 59312 65384 88968 98076 130768 177936 196152 250391 392304 500782 751173 1001564 1502346 2003128 2754301 3004692 4006256 5508602 6009384 8262903 11017204 12018768 16525806 22034408 33051612 44068816 66103224 132206448