Search a number
-
+
132815088 = 2432732689
BaseRepresentation
bin1111110101010…
…01100011110000
3100020220201001100
413322221203300
5233000040323
621102404400
73201624000
oct772514360
9306821040
10132815088
1168a74a3a
1238590700
1321692c13
14138d4000
15b9d7943
hex7ea98f0

132815088 has 120 divisors (see below), whose sum is σ = 433628000. Its totient is φ = 37933056.

The previous prime is 132815071. The next prime is 132815093. The reversal of 132815088 is 880518231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48048 + ... + 50736.

Almost surely, 2132815088 is an apocalyptic number.

132815088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132815088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216814000).

132815088 is an abundant number, since it is smaller than the sum of its proper divisors (300812912).

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

132815088 is a wasteful number, since it uses less digits than its factorization.

132815088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 132815088 is about 11524.5428542741. The cubic root of 132815088 is about 510.2102017020.

The spelling of 132815088 in words is "one hundred thirty-two million, eight hundred fifteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2689 2744 3087 3528 4116 5378 5488 6174 7056 8067 8232 10756 12348 16134 16464 18823 21512 24201 24696 32268 37646 43024 48402 49392 56469 64536 75292 96804 112938 129072 131761 150584 169407 193608 225876 263522 301168 338814 387216 395283 451752 527044 677628 790566 903504 922327 1054088 1185849 1355256 1581132 1844654 2108176 2371698 2710512 2766981 3162264 3689308 4743396 5533962 6324528 7378616 8300943 9486792 11067924 14757232 16601886 18973584 22135848 33203772 44271696 66407544 132815088