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132627248 = 24134091559
BaseRepresentation
bin1111110011110…
…11101100110000
3100020120011101022
413321323230300
5232423032443
621054355012
73200212235
oct771735460
9306504338
10132627248
11689568a6
12384bba68
1321628580
141388578c
15b99be68
hex7e7bb30

132627248 has 40 divisors (see below), whose sum is σ = 277586400. Its totient is φ = 61023744.

The previous prime is 132627233. The next prime is 132627263. The reversal of 132627248 is 842726231.

It is an interprime number because it is at equal distance from previous prime (132627233) and next prime (132627263).

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 7 ways as a sum of consecutive naturals, for example, 84293 + ... + 85851.

It is an arithmetic number, because the mean of its divisors is an integer number (6939660).

Almost surely, 2132627248 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 132627248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138793200).

132627248 is an abundant number, since it is smaller than the sum of its proper divisors (144959152).

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

132627248 is a wasteful number, since it uses less digits than its factorization.

132627248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1983 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 132627248 is about 11516.3904067203. The cubic root of 132627248 is about 509.9695586085.

The spelling of 132627248 in words is "one hundred thirty-two million, six hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 409 818 1559 1636 3118 3272 5317 6236 6544 10634 12472 20267 21268 24944 40534 42536 81068 85072 162136 324272 637631 1275262 2550524 5101048 8289203 10202096 16578406 33156812 66313624 132627248