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132163083 = 35131723107
BaseRepresentation
bin1111110000010…
…10011000001011
3100012200120200000
413320022120023
5232313204313
621040414043
73163240053
oct770123013
9305616600
10132163083
116866a098
1238317323
13214c5210
14137a4563
15b909673
hex7e0a60b

132163083 has 96 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 72534528.

The previous prime is 132163043. The next prime is 132163091. The reversal of 132163083 is 380361231.

It is a happy number.

132163083 is a `hidden beast` number, since 1 + 3 + 21 + 630 + 8 + 3 = 666.

It is not a de Polignac number, because 132163083 - 26 = 132163019 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (132163043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1235116 + ... + 1235222.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2132163083 is an apocalyptic number.

132163083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132163083 is a deficient number, since it is larger than the sum of its proper divisors (105595893).

132163083 is a wasteful number, since it uses less digits than its factorization.

132163083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132163083 is about 11496.2203788898. The cubic root of 132163083 is about 509.3739376595.

The spelling of 132163083 in words is "one hundred thirty-two million, one hundred sixty-three thousand, eighty-three".

Divisors: 1 3 9 13 17 23 27 39 51 69 81 107 117 153 207 221 243 299 321 351 391 459 621 663 897 963 1053 1173 1377 1391 1819 1863 1989 2461 2691 2889 3159 3519 4131 4173 5083 5457 5589 5967 7383 8073 8667 10557 12519 15249 16371 17901 22149 23647 24219 26001 31671 31993 37557 41837 45747 49113 53703 66447 70941 72657 95013 95979 112671 125511 137241 147339 199341 212823 287937 338013 376533 411723 442017 543881 598023 638469 863811 1129599 1235169 1631643 1915407 2591433 3388797 4894929 5746221 7774299 10166391 14684787 44054361 132163083