Search a number
-
+
132276928 = 267503587
BaseRepresentation
bin1111110001001…
…10001011000000
3100012220100211111
413320212023000
5232330330203
621043053104
73164223010
oct770461300
9305810744
10132276928
1168737683
1238371194
1321534c94
14137d3c40
15b92d26d
hex7e262c0

132276928 has 56 divisors (see below), whose sum is σ = 301093632. Its totient is φ = 56481024.

The previous prime is 132276913. The next prime is 132276929. The reversal of 132276928 is 829672231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1322769282 = 34994371362234368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132276929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225051 + ... + 225637.

It is an arithmetic number, because the mean of its divisors is an integer number (5376672).

Almost surely, 2132276928 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 132276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

132276928 is an abundant number, since it is smaller than the sum of its proper divisors (168816704).

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

132276928 is an equidigital number, since it uses as much as digits as its factorization.

132276928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 132276928 is about 11501.1707230177. The cubic root of 132276928 is about 509.5201535615.

The spelling of 132276928 in words is "one hundred thirty-two million, two hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 503 587 1006 1174 2012 2348 3521 4024 4109 4696 7042 8048 8218 9392 14084 16096 16436 18784 28168 32192 32872 37568 56336 65744 112672 131488 225344 262976 295261 590522 1181044 2066827 2362088 4133654 4724176 8267308 9448352 16534616 18896704 33069232 66138464 132276928