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132664740 = 223513283601
BaseRepresentation
bin1111110100001…
…00110110100100
3100020122001210220
413322010312210
5232430232430
621055244340
73200426445
oct772046644
9306561726
10132664740
1168981a8a
12385196b0
132163c660
14138952cc
15b9a8110
hex7e84da4

132664740 has 96 divisors (see below), whose sum is σ = 402116736. Its totient is φ = 32486400.

The previous prime is 132664739. The next prime is 132664751. The reversal of 132664740 is 47466231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220440 + ... + 221040.

It is an arithmetic number, because the mean of its divisors is an integer number (4188716).

Almost surely, 2132664740 is an apocalyptic number.

132664740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058368).

132664740 is an abundant number, since it is smaller than the sum of its proper divisors (269451996).

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

132664740 is a wasteful number, since it uses less digits than its factorization.

132664740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 132664740 is about 11518.0180586766. The cubic root of 132664740 is about 510.0176080041.

It can be divided in two parts, 1326 and 64740, that added together give a palindrome (66066).

The spelling of 132664740 in words is "one hundred thirty-two million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 283 390 566 601 780 849 1132 1202 1415 1698 1803 2404 2830 3005 3396 3606 3679 4245 5660 6010 7212 7358 7813 8490 9015 11037 12020 14716 15626 16980 18030 18395 22074 23439 31252 36060 36790 39065 44148 46878 55185 73580 78130 93756 110370 117195 156260 170083 220740 234390 340166 468780 510249 680332 850415 1020498 1700830 2040996 2211079 2551245 3401660 4422158 5102490 6633237 8844316 10204980 11055395 13266474 22110790 26532948 33166185 44221580 66332370 132664740