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132011280 = 24325183349
BaseRepresentation
bin1111101111001…
…01010100010000
3100012101212102200
413313211110100
5232243330110
621033243200
73162035352
oct767452420
9305355380
10132011280
1168576035
1238263500
13214710ab
14137650d2
15b8c96c0
hex7de5510

132011280 has 60 divisors (see below), whose sum is σ = 443340300. Its totient is φ = 35202816.

The previous prime is 132011279. The next prime is 132011281. The reversal of 132011280 is 82110231.

It is an interprime number because it is at equal distance from previous prime (132011279) and next prime (132011281).

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 77369616 = 7392^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (132011281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90955 + ... + 92394.

It is an arithmetic number, because the mean of its divisors is an integer number (7389005).

Almost surely, 2132011280 is an apocalyptic number.

132011280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132011280 is an abundant number, since it is smaller than the sum of its proper divisors (311329020).

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

132011280 is a wasteful number, since it uses less digits than its factorization.

132011280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183368 (or 183359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 132011280 is about 11489.6161815789. The cubic root of 132011280 is about 509.1788400218.

The spelling of 132011280 in words is "one hundred thirty-two million, eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 183349 366698 550047 733396 916745 1100094 1466792 1650141 1833490 2200188 2750235 2933584 3300282 3666980 4400376 5500470 6600564 7333960 8250705 8800752 11000940 13201128 14667920 16501410 22001880 26402256 33002820 44003760 66005640 132011280