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132016014 = 23313892113
BaseRepresentation
bin1111101111001…
…10011110001110
3100012102002221000
413313212132032
5232244003024
621033321130
73162055224
oct767463616
9305362830
10132016014
1168579649
12382661a6
13214732b0
1413766b14
15b8cacc9
hex7de678e

132016014 has 64 divisors (see below), whose sum is σ = 319636800. Its totient is φ = 40144896.

The previous prime is 132016007. The next prime is 132016019. The reversal of 132016014 is 410610231.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132016019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61422 + ... + 63534.

It is an arithmetic number, because the mean of its divisors is an integer number (4994325).

Almost surely, 2132016014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132016014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159818400).

132016014 is an abundant number, since it is smaller than the sum of its proper divisors (187620786).

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

132016014 is a wasteful number, since it uses less digits than its factorization.

132016014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132016014 is about 11489.8221918357. The cubic root of 132016014 is about 509.1849264305.

Adding to 132016014 its reverse (410610231), we get a palindrome (542626245).

The spelling of 132016014 in words is "one hundred thirty-two million, sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 178 234 267 351 534 702 801 1157 1602 2113 2314 2403 3471 4226 4806 6339 6942 10413 12678 19017 20826 27469 31239 38034 54938 57051 62478 82407 114102 164814 188057 247221 376114 494442 564171 741663 1128342 1483326 1692513 2444741 3385026 4889482 5077539 7334223 10155078 14668446 22002669 44005338 66008007 132016014