Search a number
-
+
134420832 = 253271323223
BaseRepresentation
bin10000000001100…
…01100101100000
3100100221021201100
420000301211200
5233402431312
621201034400
73221362320
oct1000614540
9310837640
10134420832
11699713a7
1239025a00
1321b05a70
1413bd1280
15bc035dc
hex8031960

134420832 has 288 divisors, whose sum is σ = 493129728. Its totient is φ = 33758208.

The previous prime is 134420831. The next prime is 134420857. The reversal of 134420832 is 238024431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 134420796 and 134420805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134420831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602673 + ... + 602895.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2134420832 is an apocalyptic number.

134420832 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 134420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

134420832 is an abundant number, since it is smaller than the sum of its proper divisors (358708896).

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

134420832 is a wasteful number, since it uses less digits than its factorization.

134420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134420832 is about 11593.9998274970. Note that the first 3 decimals coincide. The cubic root of 134420832 is about 512.2581299305.

The spelling of 134420832 in words is "one hundred thirty-four million, four hundred twenty thousand, eight hundred thirty-two".