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132620852 = 227213233173
BaseRepresentation
bin1111110011110…
…10001000110100
3100020112211121102
413321322020310
5232422331402
621054305232
73200154500
oct771721064
9306484542
10132620852
1168952011
12384b8218
13216256a0
1413883300
15b99a102
hex7e7a234

132620852 has 144 divisors (see below), whose sum is σ = 317463552. Its totient is φ = 47900160.

The previous prime is 132620833. The next prime is 132620881. The reversal of 132620852 is 258026231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816688 + ... + 1816760.

It is an arithmetic number, because the mean of its divisors is an integer number (2204608).

Almost surely, 2132620852 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 132620852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158731776).

132620852 is an abundant number, since it is smaller than the sum of its proper divisors (184842700).

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

132620852 is a wasteful number, since it uses less digits than its factorization.

132620852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 132620852 is about 11516.1127121959. The cubic root of 132620852 is about 509.9613606507.

The spelling of 132620852 in words is "one hundred thirty-two million, six hundred twenty thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 49 52 62 73 91 92 98 124 146 161 182 196 217 292 299 322 364 403 434 511 598 637 644 713 806 868 949 1022 1127 1196 1274 1426 1519 1612 1679 1898 2044 2093 2254 2263 2548 2821 2852 3038 3358 3577 3796 4186 4508 4526 4991 5642 6076 6643 6716 7154 8372 9052 9269 9982 11284 11753 13286 14308 14651 15841 18538 19747 19964 21827 23506 26572 29302 29419 31682 34937 37076 39494 43654 46501 47012 52049 58604 58838 63364 64883 69874 78988 82271 87308 93002 104098 110887 117676 129766 139748 152789 164542 186004 205933 208196 221774 259532 305578 329084 364343 411866 443548 454181 611156 676637 728686 823732 908362 1069523 1353274 1441531 1457372 1816724 2139046 2550401 2706548 2883062 4278092 4736459 5100802 5766124 9472918 10201604 18945836 33155213 66310426 132620852