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132105024 = 26321912071
BaseRepresentation
bin1111101111111…
…00001101000000
3100012120122000200
413313330031000
5232304330044
621035245200
73162605562
oct767741500
9305518020
10132105024
116862a507
12382a9800
13214a496c
141378b332
15b8e7369
hex7dfc340

132105024 has 84 divisors (see below), whose sum is σ = 398617440. Its totient is φ = 41713920.

The previous prime is 132104969. The next prime is 132105047. The reversal of 132105024 is 420501231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132104988 and 132105006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4909 + ... + 16979.

Almost surely, 2132105024 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 132105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199308720).

132105024 is an abundant number, since it is smaller than the sum of its proper divisors (266512416).

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

132105024 is a wasteful number, since it uses less digits than its factorization.

132105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132105024 is about 11493.6949672418. The cubic root of 132105024 is about 509.2993377223.

Adding to 132105024 its reverse (420501231), we get a palindrome (552606255).

The spelling of 132105024 in words is "one hundred thirty-two million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 12071 24142 36213 48284 72426 96568 108639 144852 193136 217278 229349 289704 386272 434556 458698 579408 688047 772544 869112 917396 1158816 1376094 1738224 1834792 2064141 2317632 2752188 3476448 3669584 4128282 5504376 6952896 7339168 8256564 11008752 14678336 16513128 22017504 33026256 44035008 66052512 132105024