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132421432 = 231121317619
BaseRepresentation
bin1111110010010…
…01011100111000
3100020011201001111
413321021130320
5232344441212
621050130104
73165364213
oct771113470
9306151044
10132421432
1168826200
1238420934
13215859a0
141383077a
15b95aea7
hex7e49738

132421432 has 96 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 52208640.

The previous prime is 132421427. The next prime is 132421433. The reversal of 132421432 is 234124231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132421433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213619 + ... + 214237.

Almost surely, 2132421432 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 132421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

132421432 is an abundant number, since it is smaller than the sum of its proper divisors (179277368).

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

132421432 is a wasteful number, since it uses less digits than its factorization.

132421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 132421432 is about 11507.4511513193. The cubic root of 132421432 is about 509.7056253251.

Adding to 132421432 its reverse (234124231), we get a palindrome (366545663).

The spelling of 132421432 in words is "one hundred thirty-two million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 121 136 143 187 221 242 286 374 442 484 572 619 748 884 968 1144 1238 1496 1573 1768 2057 2431 2476 3146 4114 4862 4952 6292 6809 8047 8228 9724 10523 12584 13618 16094 16456 19448 21046 26741 27236 32188 42092 53482 54472 64376 74899 84184 88517 106964 115753 136799 149798 177034 213928 231506 273598 299596 354068 463012 547196 599192 708136 926024 973687 1094392 1273283 1504789 1947374 2546566 3009578 3894748 5093132 6019156 7789496 10186264 12038312 16552679 33105358 66210716 132421432