[go: up one dir, main page]

Search a number
-
+
132825088 = 21411267
BaseRepresentation
bin1111110101011…
…00000000000000
3100020221012202201
413322230000000
5233000400323
621102522544
73201665104
oct772540000
9306835681
10132825088
1168a81500
1238596454
1321697636
14138d7904
15b9da8ad
hex7eac000

132825088 has 90 divisors (see below), whose sum is σ = 296344748. Its totient is φ = 59473920.

The previous prime is 132825061. The next prime is 132825089. The reversal of 132825088 is 880528231.

It is not an unprimeable number, because it can be changed into a prime (132825089) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1982431 + ... + 1982497.

Almost surely, 2132825088 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 132825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148172374).

132825088 is an abundant number, since it is smaller than the sum of its proper divisors (163519660).

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

132825088 is an frugal number, since it uses more digits than its factorization.

132825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 132825088 is about 11524.9767027964. The cubic root of 132825088 is about 510.2230064067.

The spelling of 132825088 in words is "one hundred thirty-two million, eight hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 121 128 134 176 242 256 268 352 484 512 536 704 737 968 1024 1072 1408 1474 1936 2048 2144 2816 2948 3872 4096 4288 5632 5896 7744 8107 8192 8576 11264 11792 15488 16214 16384 17152 22528 23584 30976 32428 34304 45056 47168 61952 64856 68608 90112 94336 123904 129712 137216 180224 188672 247808 259424 274432 377344 495616 518848 548864 754688 991232 1037696 1097728 1509376 1982464 2075392 3018752 4150784 6037504 8301568 12075008 16603136 33206272 66412544 132825088