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132326420 = 22529337677
BaseRepresentation
bin1111110001100…
…10010000010100
3100012222212201112
413320302100110
5232333421140
621044114152
73164520212
oct770622024
9305885645
10132326420
1168770886
1238395958
1321551675
1413807cb2
15b93cc65
hex7e32414

132326420 has 48 divisors (see below), whose sum is σ = 288746640. Its totient is φ = 50878464.

The previous prime is 132326417. The next prime is 132326461. The reversal of 132326420 is 24623231.

It can be written as a sum of positive squares in 8 ways, for example, as 4048144 + 128278276 = 2012^2 + 11326^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195122 + ... + 195798.

It is an arithmetic number, because the mean of its divisors is an integer number (6015555).

Almost surely, 2132326420 is an apocalyptic number.

132326420 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 132326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144373320).

132326420 is an abundant number, since it is smaller than the sum of its proper divisors (156420220).

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

132326420 is a wasteful number, since it uses less digits than its factorization.

132326420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 132326420 is about 11503.3221288461. The cubic root of 132326420 is about 509.5836920471.

Adding to 132326420 its reverse (24623231), we get a palindrome (156949651).

The spelling of 132326420 in words is "one hundred thirty-two million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 337 580 674 677 1348 1354 1685 2708 3370 3385 6740 6770 9773 13540 19546 19633 39092 39266 48865 78532 97730 98165 195460 196330 228149 392660 456298 912596 1140745 2281490 4562980 6616321 13232642 26465284 33081605 66163210 132326420