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132215248 = 24112312203
BaseRepresentation
bin1111110000101…
…11000111010000
3100012210020020001
413320113013100
5232321341443
621041455344
73163545124
oct770270720
9305706201
10132215248
11686a5300
1238341554
1321512b99
14137b9584
15b919d4d
hex7e171d0

132215248 has 60 divisors (see below), whose sum is σ = 290786944. Its totient is φ = 58132800.

The previous prime is 132215233. The next prime is 132215257. The reversal of 132215248 is 842512231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58915 + ... + 61117.

Almost surely, 2132215248 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 132215248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393472).

132215248 is an abundant number, since it is smaller than the sum of its proper divisors (158571696).

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

132215248 is a wasteful number, since it uses less digits than its factorization.

132215248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2247 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 132215248 is about 11498.4889442048. The cubic root of 132215248 is about 509.4409457722.

Adding to 132215248 its reverse (842512231), we get a palindrome (974727479).

The spelling of 132215248 in words is "one hundred thirty-two million, two hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1364 1936 2203 2728 3751 4406 5456 7502 8812 15004 17624 24233 30008 35248 48466 60016 68293 96932 136586 193864 266563 273172 387728 533126 546344 751223 1066252 1092688 1502446 2132504 3004892 4265008 6009784 8263453 12019568 16526906 33053812 66107624 132215248