Search a number
-
+
132934032 = 243271119631
BaseRepresentation
bin1111110110001…
…10100110010000
3100021010202012200
413323012212100
5233012342112
621105123200
73202630530
oct773064620
9307122180
10132934032
1169046340
1238629500
13217050ba
14139254c0
15ba0ccdc
hex7ec6990

132934032 has 240 divisors, whose sum is σ = 489016320. Its totient is φ = 32659200.

The previous prime is 132934019. The next prime is 132934069. The reversal of 132934032 is 230439231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132933987 and 132934005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210357 + ... + 210987.

It is an arithmetic number, because the mean of its divisors is an integer number (2037568).

Almost surely, 2132934032 is an apocalyptic number.

132934032 is a gapful number since it is divisible by the number (12) 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 132934032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244508160).

132934032 is an abundant number, since it is smaller than the sum of its proper divisors (356082288).

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

132934032 is a wasteful number, since it uses less digits than its factorization.

132934032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132934032 is about 11529.7021644100. The cubic root of 132934032 is about 510.3624643603.

The spelling of 132934032 in words is "one hundred thirty-two million, nine hundred thirty-four thousand, thirty-two".