Search a number
-
+
132759552 = 21433773
BaseRepresentation
bin1111110100111…
…00000000000000
3100020210212212110
413322130000000
5232441301202
621101255320
73201303042
oct772340000
9306725773
10132759552
1168a37242
1238564540
1321673863
14138bba92
15b9c626c
hex7e9c000

132759552 has 120 divisors (see below), whose sum is σ = 368563216. Its totient is φ = 42467328.

The previous prime is 132759521. The next prime is 132759553. The reversal of 132759552 is 255957231.

132759552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132759552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132759553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1818588 + ... + 1818660.

Almost surely, 2132759552 is an apocalyptic number.

132759552 is a gapful number since it is divisible by the number (12) 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 132759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184281608).

132759552 is an abundant number, since it is smaller than the sum of its proper divisors (235803664).

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

132759552 is an frugal number, since it uses more digits than its factorization.

132759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 94500, while the sum is 39.

The square root of 132759552 is about 11522.1331358390. The cubic root of 132759552 is about 510.1390777945.

The spelling of 132759552 in words is "one hundred thirty-two million, seven hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 111 128 146 148 192 219 222 256 292 296 384 438 444 512 584 592 768 876 888 1024 1168 1184 1536 1752 1776 2048 2336 2368 2701 3072 3504 3552 4096 4672 4736 5402 6144 7008 7104 8103 8192 9344 9472 10804 12288 14016 14208 16206 16384 18688 18944 21608 24576 28032 28416 32412 37376 37888 43216 49152 56064 56832 64824 74752 75776 86432 112128 113664 129648 149504 151552 172864 224256 227328 259296 299008 303104 345728 448512 454656 518592 598016 606208 691456 897024 909312 1037184 1196032 1382912 1794048 1818624 2074368 2765824 3588096 4148736 5531648 8297472 11063296 16594944 22126592 33189888 44253184 66379776 132759552