Search a number
-
+
134883840 = 2935713193
BaseRepresentation
bin10000000101000…
…10101000000000
3100101210210211210
420002202220000
5234012240330
621215010120
73225331230
oct1002425000
9311723753
10134883840
116a158253
1239209940
1321c38730
1413cb1cc0
15bc958b0
hex80a2a00

134883840 has 320 divisors, whose sum is σ = 533465856. Its totient is φ = 28311552.

The previous prime is 134883811. The next prime is 134883841. The reversal of 134883840 is 48388431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (134883841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698784 + ... + 698976.

Almost surely, 2134883840 is an apocalyptic number.

134883840 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 134883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266732928).

134883840 is an abundant number, since it is smaller than the sum of its proper divisors (398582016).

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

134883840 is a wasteful number, since it uses less digits than its factorization.

134883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 134883840 is about 11613.9502323714. The cubic root of 134883840 is about 512.8456078523.

The spelling of 134883840 in words is "one hundred thirty-four million, eight hundred eighty-three thousand, eight hundred forty".