Search a number
-
+
132208986 = 237133173107
BaseRepresentation
bin1111110000101…
…01100101011010
3100012202220122010
413320111211122
5232321141421
621041410350
73163520640
oct770254532
9305686563
10132208986
11686a0628
12383399b6
1321510090
14137b7190
15b918076
hex7e1595a

132208986 has 128 divisors (see below), whose sum is σ = 343719936. Its totient is φ = 32970240.

The previous prime is 132208981. The next prime is 132208987. The reversal of 132208986 is 689802231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132208981) 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, 1235545 + ... + 1235651.

It is an arithmetic number, because the mean of its divisors is an integer number (2685312).

Almost surely, 2132208986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132208986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171859968).

132208986 is an abundant number, since it is smaller than the sum of its proper divisors (211510950).

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

132208986 is a wasteful number, since it uses less digits than its factorization.

132208986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 132208986 is about 11498.2166443323. The cubic root of 132208986 is about 509.4329029037.

The spelling of 132208986 in words is "one hundred thirty-two million, two hundred eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 73 78 91 93 107 146 182 186 214 217 219 273 321 403 434 438 511 546 642 651 749 806 949 1022 1209 1302 1391 1498 1533 1898 2247 2263 2418 2782 2821 2847 3066 3317 4173 4494 4526 5642 5694 6634 6643 6789 7811 8346 8463 9737 9951 13286 13578 15622 15841 16926 19474 19902 19929 23219 23433 29211 29419 31682 39858 43121 46438 46866 47523 54677 58422 58838 69657 86242 88257 95046 101543 109354 129363 139314 164031 176514 203086 205933 242141 258726 301847 304629 328062 411866 484282 603694 609258 617799 710801 726423 905541 1235598 1421602 1452846 1694987 1811082 2132403 3147833 3389974 4264806 5084961 6295666 9443499 10169922 18886998 22034831 44069662 66104493 132208986