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132246954 = 232719371493
BaseRepresentation
bin1111110000111…
…10110110101010
3100012211211201100
413320132312222
5232323400304
621042302230
73164036430
oct770366652
9305754640
10132246954
1168717104
1238357976
1321524448
14137c6d50
15b924439
hex7e1edaa

132246954 has 96 divisors (see below), whose sum is σ = 354257280. Its totient is φ = 34805376.

The previous prime is 132246937. The next prime is 132246967. The reversal of 132246954 is 459642231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87832 + ... + 89324.

It is an arithmetic number, because the mean of its divisors is an integer number (3690180).

Almost surely, 2132246954 is an apocalyptic number.

132246954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132246954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177128640).

132246954 is an abundant number, since it is smaller than the sum of its proper divisors (222010326).

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

132246954 is a wasteful number, since it uses less digits than its factorization.

132246954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1561 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132246954 is about 11499.8675644548. The cubic root of 132246954 is about 509.4816648367.

The spelling of 132246954 in words is "one hundred thirty-two million, two hundred forty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 703 777 798 1197 1406 1493 1554 2109 2331 2394 2986 4218 4479 4662 4921 6327 8958 9842 10451 12654 13437 14763 20902 26874 28367 29526 31353 44289 55241 56734 62706 85101 88578 94059 110482 165723 170202 188118 198569 255303 331446 386687 397138 497169 510606 595707 773374 994338 1049579 1160061 1191414 1787121 2099158 2320122 3148737 3480183 3574242 6297474 6960366 7347053 9446211 14694106 18892422 22041159 44082318 66123477 132246954