Search a number
-
+
132083217 = 3471771193
BaseRepresentation
bin1111101111101…
…10111000010001
3100012112112010000
413313312320101
5232303130332
621035000213
73162455160
oct767667021
9305475100
10132083217
1168615092
1238299069
1321497a66
14137833d7
15b8e0b7c
hex7df6e11

132083217 has 80 divisors (see below), whose sum is σ = 243378432. Its totient is φ = 69672960.

The previous prime is 132083213. The next prime is 132083243. The reversal of 132083217 is 712380231.

It is not a de Polignac number, because 132083217 - 22 = 132083213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132083213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 684273 + ... + 684465.

Almost surely, 2132083217 is an apocalyptic number.

132083217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132083217 is a deficient number, since it is larger than the sum of its proper divisors (111295215).

132083217 is a wasteful number, since it uses less digits than its factorization.

132083217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132083217 is about 11492.7462775439. The cubic root of 132083217 is about 509.2713122885.

The spelling of 132083217 in words is "one hundred thirty-two million, eighty-three thousand, two hundred seventeen".

Divisors: 1 3 7 9 17 21 27 51 63 71 81 119 153 189 193 213 357 459 497 567 579 639 1071 1207 1351 1377 1491 1737 1917 3213 3281 3621 4053 4473 5211 5751 8449 9639 9843 10863 12159 13419 13703 15633 22967 25347 29529 32589 36477 40257 41109 68901 76041 88587 95921 97767 109431 123327 206703 228123 232951 265761 287763 369981 620109 684369 698853 863289 1109943 1630657 1860327 2096559 2589867 4891971 6289677 7769601 14675913 18869031 44027739 132083217