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132420020 = 22561108541
BaseRepresentation
bin1111110010010…
…01000110110100
3100020011122010012
413321021012310
5232344420040
621050115352
73165360125
oct771110664
9306148105
10132420020
1168825137
123841bb58
1321585155
141383004c
15b95a865
hex7e491b4

132420020 has 24 divisors (see below), whose sum is σ = 282643368. Its totient is φ = 52099200.

The previous prime is 132420019. The next prime is 132420047. The reversal of 132420020 is 20024231.

It can be written as a sum of positive squares in 4 ways, for example, as 7963684 + 124456336 = 2822^2 + 11156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132419977 and 132420004.

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, 53051 + ... + 55490.

It is an arithmetic number, because the mean of its divisors is an integer number (11776807).

Almost surely, 2132420020 is an apocalyptic number.

132420020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132420020 is an abundant number, since it is smaller than the sum of its proper divisors (150223348).

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

132420020 is a wasteful number, since it uses less digits than its factorization.

132420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108611 (or 108609 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132420020 is about 11507.3897996027. The cubic root of 132420020 is about 509.7038136674.

Adding to 132420020 its reverse (20024231), we get a palindrome (152444251).

The spelling of 132420020 in words is "one hundred thirty-two million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 108541 217082 434164 542705 1085410 2170820 6621001 13242002 26484004 33105005 66210010 132420020