Search a number
-
+
134217720 = 2332571317241
BaseRepresentation
bin1111111111111…
…11111111111000
3100100112222002200
413333333333320
5233324431340
621152430200
73216555210
oct777777770
9310488080
10134217720
116984283a
1238b48360
1321a64490
1413b7b240
15bbb3330
hex7fffff8

134217720 has 384 divisors, whose sum is σ = 570810240. Its totient is φ = 26542080.

The previous prime is 134217689. The next prime is 134217757. The reversal of 134217720 is 27712431.

It is a happy number.

It is a nialpdrome in base 2, base 8 and base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556800 + ... + 557040.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2134217720 is an apocalyptic number.

134217720 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 134217720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

134217720 is an abundant number, since it is smaller than the sum of its proper divisors (436592520).

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

134217720 is a wasteful number, since it uses less digits than its factorization.

134217720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 134217720 is about 11585.2371576934. The cubic root of 134217720 is about 511.9999898275. Note that the first 4 decimals are identical.

The spelling of 134217720 in words is "one hundred thirty-four million, two hundred seventeen thousand, seven hundred twenty".