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132231420 = 22335244873
BaseRepresentation
bin1111110000110…
…11000011111100
3100012211001102000
413320123003330
5232322401140
621042102300
73163643226
oct770330374
9305731360
10132231420
1168706472
123834a990
132151a359
14137c1416
15b91ea30
hex7e1b0fc

132231420 has 48 divisors (see below), whose sum is σ = 411388320. Its totient is φ = 35261568.

The previous prime is 132231413. The next prime is 132231427. The reversal of 132231420 is 24132231.

132231420 is a `hidden beast` number, since 13 + 2 + 231 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (132231413) and next prime (132231427).

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

It is a junction number, because it is equal to n+sod(n) for n = 132231393 and 132231402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132231427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121897 + ... + 122976.

It is an arithmetic number, because the mean of its divisors is an integer number (8570590).

Almost surely, 2132231420 is an apocalyptic number.

132231420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132231420 is an abundant number, since it is smaller than the sum of its proper divisors (279156900).

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

132231420 is a wasteful number, since it uses less digits than its factorization.

132231420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244891 (or 244883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132231420 is about 11499.1921455379. The cubic root of 132231420 is about 509.4617157999.

Adding to 132231420 its reverse (24132231), we get a palindrome (156363651).

It can be divided in two parts, 132231 and 420, that added together give a cube (132651 = 513).

The spelling of 132231420 in words is "one hundred thirty-two million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 244873 489746 734619 979492 1224365 1469238 2203857 2448730 2938476 3673095 4407714 4897460 6611571 7346190 8815428 11019285 13223142 14692380 22038570 26446284 33057855 44077140 66115710 132231420