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132880880 = 24511314871
BaseRepresentation
bin1111110101110…
…01100111110000
3100021001001022002
413322321213300
5233004142010
621104033132
73202316546
oct772714760
9307031262
10132880880
116900a410
12386027a8
13216b6b52
141390dd96
15b9ec1a5
hex7eb99f0

132880880 has 80 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 46752000.

The previous prime is 132880873. The next prime is 132880901. The reversal of 132880880 is 88088231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24845 + ... + 29715.

Almost surely, 2132880880 is an apocalyptic number.

132880880 is a gapful number since it is divisible by the number (10) 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 132880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

132880880 is an abundant number, since it is smaller than the sum of its proper divisors (215096848).

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

132880880 is a wasteful number, since it uses less digits than its factorization.

132880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 132880880 is about 11527.3969307906. The cubic root of 132880880 is about 510.2944346227.

The spelling of 132880880 in words is "one hundred thirty-two million, eight hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 4871 5456 6820 9742 13640 19484 24355 27280 38968 48710 53581 77936 97420 107162 151001 194840 214324 267905 302002 389680 428648 535810 604004 755005 857296 1071620 1208008 1510010 1661011 2143240 2416016 3020020 3322022 4286480 6040040 6644044 8305055 12080080 13288088 16610110 26576176 33220220 66440440 132880880