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132314430 = 2354410481
BaseRepresentation
bin1111110001011…
…11010100111110
3100012222021021110
413320233110332
5232333030210
621043542450
73164440233
oct770572476
9305867243
10132314430
1168762876
123838aa26
1321549081
141380378a
15b939420
hex7e2f53e

132314430 has 16 divisors (see below), whose sum is σ = 317554704. Its totient is φ = 35283840.

The previous prime is 132314401. The next prime is 132314489. The reversal of 132314430 is 34413231.

132314430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132314397 and 132314406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205211 + ... + 2205270.

It is an arithmetic number, because the mean of its divisors is an integer number (19847169).

Almost surely, 2132314430 is an apocalyptic number.

132314430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132314430 is an abundant number, since it is smaller than the sum of its proper divisors (185240274).

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

132314430 is a wasteful number, since it uses less digits than its factorization.

132314430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410491.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132314430 is about 11502.8009632437. The cubic root of 132314430 is about 509.5683005805.

Adding to 132314430 its reverse (34413231), we get a palindrome (166727661).

It can be divided in two parts, 1323 and 14430, that added together give a triangular number (15753 = T177).

The spelling of 132314430 in words is "one hundred thirty-two million, three hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 4410481 8820962 13231443 22052405 26462886 44104810 66157215 132314430