Search a number
-
+
132984819 = 3211192612
BaseRepresentation
bin1111110110100…
…10111111110011
3100021020022212200
413323102333303
5233021003234
621110154243
73203231562
oct773227763
9307208780
10132984819
1169080510
1238652983
1321722256
1413939bd9
15ba1cd99
hex7ed2ff3

132984819 has 54 divisors (see below), whose sum is σ = 224846388. Its totient is φ = 75103200.

The previous prime is 132984811. The next prime is 132984821. The reversal of 132984819 is 918489231.

It is not a de Polignac number, because 132984819 - 23 = 132984811 is a prime.

It is a super-2 number, since 2×1329848192 = 35369924168925522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132984811) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2180049 + ... + 2180109.

It is an arithmetic number, because the mean of its divisors is an integer number (4163822).

Almost surely, 2132984819 is an apocalyptic number.

132984819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132984819 is a deficient number, since it is larger than the sum of its proper divisors (91861569).

132984819 is a wasteful number, since it uses less digits than its factorization.

132984819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 94 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 132984819 is about 11531.9043960657. The cubic root of 132984819 is about 510.4274501730.

The spelling of 132984819 in words is "one hundred thirty-two million, nine hundred eighty-four thousand, eight hundred nineteen".

Divisors: 1 3 9 11 19 33 57 61 99 171 183 209 361 549 627 671 1083 1159 1881 2013 3249 3477 3721 3971 6039 10431 11163 11913 12749 22021 33489 35739 38247 40931 66063 70699 114741 122793 198189 212097 242231 368379 636291 726693 777689 1343281 2180079 2333067 4029843 6999201 12089529 14776091 44328273 132984819