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132021120 = 27357111947
BaseRepresentation
bin1111101111001…
…11101110000000
3100012102100221010
413313213232000
5232244133440
621033400520
73162106140
oct767475600
9305370833
10132021120
1168582470
1238269140
132147570a
1413768920
15b8cc580
hex7de7b80

132021120 has 512 divisors, whose sum is σ = 564019200. Its totient is φ = 25436160.

The previous prime is 132021103. The next prime is 132021121. The reversal of 132021120 is 21120231.

It is a super-2 number, since 2×1320211202 = 34859152252108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132021096 and 132021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808937 + ... + 2808983.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2132021120 is an apocalyptic number.

132021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

132021120 is an abundant number, since it is smaller than the sum of its proper divisors (431998080).

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

132021120 is a wasteful number, since it uses less digits than its factorization.

132021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132021120 is about 11490.0443863372. The cubic root of 132021120 is about 509.1914909491.

Adding to 132021120 its reverse (21120231), we get a palindrome (153141351).

It can be divided in two parts, 1320211 and 20, that added together give a palindrome (1320231).

The spelling of 132021120 in words is "one hundred thirty-two million, twenty-one thousand, one hundred twenty".