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132260424 = 23341257523
BaseRepresentation
bin1111110001000…
…10001001001000
3100012212112012020
413320202021020
5232324313144
621042444440
73164123622
oct770421110
9305775166
10132260424
116872623a
1238363720
132152a60a
14137cbc12
15b928419
hex7e22248

132260424 has 64 divisors (see below), whose sum is σ = 340683840. Its totient is φ = 42762240.

The previous prime is 132260413. The next prime is 132260431. The reversal of 132260424 is 424062231.

132260424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132260394 and 132260403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252627 + ... + 253149.

It is an arithmetic number, because the mean of its divisors is an integer number (5323185).

Almost surely, 2132260424 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 132260424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170341920).

132260424 is an abundant number, since it is smaller than the sum of its proper divisors (208423416).

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

132260424 is a wasteful number, since it uses less digits than its factorization.

132260424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 132260424 is about 11500.4532084610. The cubic root of 132260424 is about 509.4989619838.

The spelling of 132260424 in words is "one hundred thirty-two million, two hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 257 328 492 514 523 771 984 1028 1046 1542 1569 2056 2092 3084 3138 4184 6168 6276 10537 12552 21074 21443 31611 42148 42886 63222 64329 84296 85772 126444 128658 134411 171544 252888 257316 268822 403233 514632 537644 806466 1075288 1612932 3225864 5510851 11021702 16532553 22043404 33065106 44086808 66130212 132260424