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132422420 = 22513509317
BaseRepresentation
bin1111110010010…
…01101100010100
3100020011202102002
413321021230110
5232400004140
621050134432
73165400124
oct771115424
9306152362
10132422420
1168826a19
1238421418
1321586280
1413830c84
15b95b415
hex7e49b14

132422420 has 24 divisors (see below), whose sum is σ = 299478984. Its totient is φ = 48894336.

The previous prime is 132422417. The next prime is 132422429. The reversal of 132422420 is 24224231.

It can be written as a sum of positive squares in 4 ways, for example, as 8456464 + 123965956 = 2908^2 + 11134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132422392 and 132422401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132422429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254399 + ... + 254918.

It is an arithmetic number, because the mean of its divisors is an integer number (12478291).

Almost surely, 2132422420 is an apocalyptic number.

132422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132422420 is an abundant number, since it is smaller than the sum of its proper divisors (167056564).

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

132422420 is a wasteful number, since it uses less digits than its factorization.

132422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509339 (or 509337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 132422420 is about 11507.4940799463. The cubic root of 132422420 is about 509.7068929645.

Adding to 132422420 its reverse (24224231), we get a palindrome (156646651).

The spelling of 132422420 in words is "one hundred thirty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509317 1018634 2037268 2546585 5093170 6621121 10186340 13242242 26484484 33105605 66211210 132422420