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132251024 = 2417237773
BaseRepresentation
bin1111110000111…
…11110110010000
3100012212001022002
413320133312100
5232324013044
621042333132
73164054333
oct770376620
9305761262
10132251024
116871a174
123835a1a8
1321526259
14137c861a
15b92574e
hex7e1fd90

132251024 has 60 divisors (see below), whose sum is σ = 279914004. Its totient is φ = 60475392.

The previous prime is 132251017. The next prime is 132251027. The reversal of 132251024 is 420152231.

It can be written as a sum of positive squares in 6 ways, for example, as 8596624 + 123654400 = 2932^2 + 11120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132250987 and 132251005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132251027) 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, 170702 + ... + 171474.

Almost surely, 2132251024 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 132251024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139957002).

132251024 is an abundant number, since it is smaller than the sum of its proper divisors (147662980).

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

132251024 is a wasteful number, since it uses less digits than its factorization.

132251024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 132251024 is about 11500.0445216529. The cubic root of 132251024 is about 509.4868913443.

It can be divided in two parts, 13225 and 1024, that multiplied together give a square (13542400 = 36802).

The spelling of 132251024 in words is "one hundred thirty-two million, two hundred fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 578 592 629 773 1156 1258 1546 2312 2516 3092 4624 5032 6184 10064 10693 12368 13141 21386 26282 28601 42772 52564 57202 85544 105128 114404 171088 210256 223397 228808 446794 457616 486217 893588 972434 1787176 1944868 3574352 3889736 7779472 8265689 16531378 33062756 66125512 132251024