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132122420 = 2256606121
BaseRepresentation
bin1111110000000…
…00011100110100
3100012121111212222
413320000130310
5232310404140
621035501512
73163010363
oct770003464
9305544788
10132122420
1168641591
12382b7898
13214ac861
14137937da
15b8ec5b5
hex7e00734

132122420 has 12 divisors (see below), whose sum is σ = 277457124. Its totient is φ = 52848960.

The previous prime is 132122387. The next prime is 132122429. The reversal of 132122420 is 24221231.

It can be written as a sum of positive squares in 2 ways, for example, as 98644624 + 33477796 = 9932^2 + 5786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3303041 + ... + 3303080.

It is an arithmetic number, because the mean of its divisors is an integer number (23121427).

Almost surely, 2132122420 is an apocalyptic number.

132122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122420 is an abundant number, since it is smaller than the sum of its proper divisors (145334704).

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

132122420 is a wasteful number, since it uses less digits than its factorization.

132122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606130 (or 6606128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 132122420 is about 11494.4517050619. The cubic root of 132122420 is about 509.3216921141.

Adding to 132122420 its reverse (24221231), we get a palindrome (156343651).

The spelling of 132122420 in words is "one hundred thirty-two million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6606121 13212242 26424484 33030605 66061210 132122420