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132428196 = 2235413323
BaseRepresentation
bin1111110010010…
…11000110100100
3100020012001100000
413321023012210
5232400200241
621050221300
73165423015
oct771130644
9306161300
10132428196
116883029a
1238424830
1321588aa4
141383300c
15b95ceb6
hex7e4b1a4

132428196 has 72 divisors (see below), whose sum is σ = 355721184. Its totient is φ = 43053120.

The previous prime is 132428171. The next prime is 132428201. The reversal of 132428196 is 691824231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132428196.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38191 + ... + 41513.

It is an arithmetic number, because the mean of its divisors is an integer number (4940572).

Almost surely, 2132428196 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 132428196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177860592).

132428196 is an abundant number, since it is smaller than the sum of its proper divisors (223292988).

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

132428196 is a wasteful number, since it uses less digits than its factorization.

132428196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3369 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 132428196 is about 11507.7450440996. The cubic root of 132428196 is about 509.7143036538.

The spelling of 132428196 in words is "one hundred thirty-two million, four hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2214 3321 3323 4428 6642 6646 9963 9969 13284 13292 19926 19938 29907 39852 39876 59814 89721 119628 136243 179442 269163 272486 358884 408729 538326 544972 807489 817458 1076652 1226187 1614978 1634916 2452374 3229956 3678561 4904748 7357122 11035683 14714244 22071366 33107049 44142732 66214098 132428196