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132132042 = 23271997569
BaseRepresentation
bin1111110000000…
…10110011001010
3100012122000002100
413320002303022
5232311211132
621040014230
73163050420
oct770026312
9305560070
10132132042
1168648839
1238301376
13214b4053
1413797110
15b90037c
hex7e02cca

132132042 has 96 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 35334144.

The previous prime is 132132029. The next prime is 132132043. The reversal of 132132042 is 240231231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132132043) 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 47 ways as a sum of consecutive naturals, for example, 231934 + ... + 232502.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2132132042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

132132042 is an abundant number, since it is smaller than the sum of its proper divisors (216434358).

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

132132042 is a wasteful number, since it uses less digits than its factorization.

132132042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132132042 is about 11494.8702472016. The cubic root of 132132042 is about 509.3340558355.

Adding to 132132042 its reverse (240231231), we get a palindrome (372363273).

The spelling of 132132042 in words is "one hundred thirty-two million, one hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 97 114 126 133 171 194 266 291 342 399 569 582 679 798 873 1138 1197 1358 1707 1746 1843 2037 2394 3414 3686 3983 4074 5121 5529 6111 7966 10242 10811 11058 11949 12222 12901 16587 21622 23898 25802 32433 33174 35847 38703 55193 64866 71694 75677 77406 97299 110386 116109 151354 165579 194598 227031 232218 331158 386351 454062 496737 681093 772702 993474 1048667 1159053 1362186 2097334 2318106 3146001 3477159 6292002 6954318 7340669 9438003 14681338 18876006 22022007 44044014 66066021 132132042