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132428440 = 2358937199
BaseRepresentation
bin1111110010010…
…11001010011000
3100020012001200001
413321023022120
5232400202230
621050222344
73165423514
oct771131230
9306161601
10132428440
11688304a1
12384249b4
1321588c31
1413833144
15b95d0ca
hex7e4b298

132428440 has 32 divisors (see below), whose sum is σ = 301320000. Its totient is φ = 52374784.

The previous prime is 132428393. The next prime is 132428467. The reversal of 132428440 is 44824231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132428399 and 132428408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15040 + ... + 22159.

It is an arithmetic number, because the mean of its divisors is an integer number (9416250).

Almost surely, 2132428440 is an apocalyptic number.

132428440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132428440 is an abundant number, since it is smaller than the sum of its proper divisors (168891560).

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

132428440 is a wasteful number, since it uses less digits than its factorization.

132428440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37299 (or 37295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 132428440 is about 11507.7556456505. The cubic root of 132428440 is about 509.7146167045.

The spelling of 132428440 in words is "one hundred thirty-two million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 37199 74398 148796 185995 297592 371990 743980 1487960 3310711 6621422 13242844 16553555 26485688 33107110 66214220 132428440