Search a number
-
+
132661404 = 223217241311
BaseRepresentation
bin1111110100001…
…00000010011100
3100020121220020100
413322010002130
5232430131104
621055221100
73200413641
oct772040234
9306556210
10132661404
116897a527
1238517790
132163ac95
1413893dc8
15b9a7139
hex7e8409c

132661404 has 108 divisors (see below), whose sum is σ = 366086448. Its totient is φ = 40473600.

The previous prime is 132661381. The next prime is 132661409. The reversal of 132661404 is 404166231.

It is a super-2 number, since 2×1326614042 = 35198096222502432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132661409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 426409 + ... + 426719.

Almost surely, 2132661404 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 132661404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183043224).

132661404 is an abundant number, since it is smaller than the sum of its proper divisors (233425044).

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

132661404 is a wasteful number, since it uses less digits than its factorization.

132661404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132661404 is about 11517.8732411848. The cubic root of 132661404 is about 510.0133329848.

The spelling of 132661404 in words is "one hundred thirty-two million, six hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 289 306 311 369 492 578 612 622 697 738 867 933 1156 1244 1394 1476 1734 1866 2091 2601 2788 2799 3468 3732 4182 5202 5287 5598 6273 8364 10404 10574 11196 11849 12546 12751 15861 21148 23698 25092 25502 31722 35547 38253 47396 47583 51004 63444 71094 76506 89879 95166 106641 114759 142188 153012 179758 190332 213282 216767 229518 269637 359516 426564 433534 459036 539274 650301 808911 867068 1078548 1300602 1617822 1950903 2601204 3235644 3685039 3901806 7370078 7803612 11055117 14740156 22110234 33165351 44220468 66330702 132661404