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132763914 = 23317294987
BaseRepresentation
bin1111110100111…
…01000100001010
3100020211002212000
413322131010022
5232441421124
621101331430
73201321543
oct772350412
9306732760
10132763914
1168a3a548
1238566b76
132167583a
14138bd4ca
15b9c76c9
hex7e9d10a

132763914 has 64 divisors (see below), whose sum is σ = 323222400. Its totient is φ = 40207104.

The previous prime is 132763913. The next prime is 132763937. The reversal of 132763914 is 419367231.

132763914 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 639 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (132763913) 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, 24129 + ... + 29115.

It is an arithmetic number, because the mean of its divisors is an integer number (5050350).

Almost surely, 2132763914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132763914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161611200).

132763914 is an abundant number, since it is smaller than the sum of its proper divisors (190458486).

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

132763914 is a wasteful number, since it uses less digits than its factorization.

132763914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5038 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 132763914 is about 11522.3224221508. The cubic root of 132763914 is about 510.1446648433.

The spelling of 132763914 in words is "one hundred thirty-two million, seven hundred sixty-three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 783 918 986 1479 1566 2958 4437 4987 8874 9974 13311 14961 26622 29922 44883 84779 89766 134649 144623 169558 254337 269298 289246 433869 508674 763011 867738 1301607 1526022 2289033 2458591 2603214 3904821 4578066 4917182 7375773 7809642 14751546 22127319 44254638 66381957 132763914