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132265248 = 253431792
BaseRepresentation
bin1111110001000…
…11010100100000
3100012212202210220
413320203110200
5232324441443
621042523040
73164143653
oct770432440
9305782726
10132265248
1168729925
1238366480
132152c87b
14137cd89a
15b929a83
hex7e23520

132265248 has 72 divisors (see below), whose sum is σ = 357266448. Its totient is φ = 42822528.

The previous prime is 132265241. The next prime is 132265271. The reversal of 132265248 is 842562231.

It is not an unprimeable number, because it can be changed into a prime (132265241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738823 + ... + 739001.

It is an arithmetic number, because the mean of its divisors is an integer number (4962034).

Almost surely, 2132265248 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 132265248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178633224).

132265248 is an abundant number, since it is smaller than the sum of its proper divisors (225001200).

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

132265248 is an equidigital number, since it uses as much as digits as its factorization.

132265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 227 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 132265248 is about 11500.6629374137. The cubic root of 132265248 is about 509.5051563112.

The spelling of 132265248 in words is "one hundred thirty-two million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 179 258 344 358 516 537 688 716 1032 1074 1376 1432 2064 2148 2864 4128 4296 5728 7697 8592 15394 17184 23091 30788 32041 46182 61576 64082 92364 96123 123152 128164 184728 192246 246304 256328 369456 384492 512656 738912 768984 1025312 1377763 1537968 2755526 3075936 4133289 5511052 8266578 11022104 16533156 22044208 33066312 44088416 66132624 132265248