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132421016 = 23713593083
BaseRepresentation
bin1111110010010…
…01010110011000
3100020011200111002
413321021112120
5232344433031
621050124132
73165363050
oct771112630
9306150432
10132421016
1168825962
1238420648
1321585740
1413830560
15b95accb
hex7e49598

132421016 has 64 divisors (see below), whose sum is σ = 310867200. Its totient is φ = 51481728.

The previous prime is 132420997. The next prime is 132421019. The reversal of 132421016 is 610124231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132421019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41411 + ... + 44493.

It is an arithmetic number, because the mean of its divisors is an integer number (4857300).

Almost surely, 2132421016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132421016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155433600).

132421016 is an abundant number, since it is smaller than the sum of its proper divisors (178446184).

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

132421016 is a wasteful number, since it uses less digits than its factorization.

132421016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 132421016 is about 11507.4330760600. The cubic root of 132421016 is about 509.7050915802.

Adding to 132421016 its reverse (610124231), we get a palindrome (742545247).

The spelling of 132421016 in words is "one hundred thirty-two million, four hundred twenty-one thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 364 413 472 728 767 826 1534 1652 3068 3083 3304 5369 6136 6166 10738 12332 21476 21581 24664 40079 42952 43162 80158 86324 160316 172648 181897 280553 320632 363794 561106 727588 1122212 1273279 1455176 2244424 2364661 2546558 4729322 5093116 9458644 10186232 16552627 18917288 33105254 66210508 132421016