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132774216 = 233172314149
BaseRepresentation
bin1111110100111…
…11100101001000
3100020211121222120
413322133211020
5232442233331
621101451240
73201363561
oct772374510
9306747876
10132774216
1168a47263
1238570b20
132167a433
14138c3168
15b9ca796
hex7e9f948

132774216 has 64 divisors (see below), whose sum is σ = 366768000. Its totient is φ = 39840768.

The previous prime is 132774203. The next prime is 132774221. The reversal of 132774216 is 612477231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (5730750).

Almost surely, 2132774216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132774216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183384000).

132774216 is an abundant number, since it is smaller than the sum of its proper divisors (233993784).

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

132774216 is a wasteful number, since it uses less digits than its factorization.

132774216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14198 (or 14194 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 132774216 is about 11522.7694587716. The cubic root of 132774216 is about 510.1578596296.

The spelling of 132774216 in words is "one hundred thirty-two million, seven hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 14149 28298 42447 56596 84894 113192 169788 240533 325427 339576 481066 650854 721599 962132 976281 1301708 1443198 1924264 1952562 2603416 2886396 3905124 5532259 5772792 7810248 11064518 16596777 22129036 33193554 44258072 66387108 132774216