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132213072 = 2432839733
BaseRepresentation
bin1111110000101…
…10100101010000
3100012210010020110
413320112211100
5232321304242
621041441320
73163535565
oct770264520
9305703213
10132213072
11686a3702
1238340240
1321511bb4
14137b886c
15b91939c
hex7e16950

132213072 has 40 divisors (see below), whose sum is σ = 342792544. Its totient is φ = 43910784.

The previous prime is 132213071. The next prime is 132213073. The reversal of 132213072 is 270312231.

It is an interprime number because it is at equal distance from previous prime (132213071) and next prime (132213073).

It is a super-3 number, since 3×1322130723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213071) 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 7 ways as a sum of consecutive naturals, for example, 8718 + ... + 18450.

Almost surely, 2132213072 is an apocalyptic number.

132213072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132213072 is an abundant number, since it is smaller than the sum of its proper divisors (210579472).

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

132213072 is a wasteful number, since it uses less digits than its factorization.

132213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10027 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132213072 is about 11498.3943226870. The cubic root of 132213072 is about 509.4381509620.

The spelling of 132213072 in words is "one hundred thirty-two million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 283 566 849 1132 1698 2264 3396 4528 6792 9733 13584 19466 29199 38932 58398 77864 116796 155728 233592 467184 2754439 5508878 8263317 11017756 16526634 22035512 33053268 44071024 66106536 132213072