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134240080 = 2451329929
BaseRepresentation
bin10000000000001…
…01011101010000
3100100121002202211
420000011131100
5233331140310
621153121504
73220010332
oct1000053520
9310532684
10134240080
1169858617
1238b59294
1321a71700
1413b85452
15bbb9c8a
hex8005750

134240080 has 60 divisors (see below), whose sum is σ = 337997340. Its totient is φ = 49560576.

The previous prime is 134240069. The next prime is 134240081. The reversal of 134240080 is 80042431.

It can be written as a sum of positive squares in 6 ways, for example, as 45050944 + 89189136 = 6712^2 + 9444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134240081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8556 + ... + 18484.

It is an arithmetic number, because the mean of its divisors is an integer number (5633289).

Almost surely, 2134240080 is an apocalyptic number.

134240080 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 134240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168998670).

134240080 is an abundant number, since it is smaller than the sum of its proper divisors (203757260).

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

134240080 is a wasteful number, since it uses less digits than its factorization.

134240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 134240080 is about 11586.2021387511. The cubic root of 134240080 is about 512.0284204601.

The spelling of 134240080 in words is "one hundred thirty-four million, two hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 9929 13520 19858 39716 49645 79432 99290 129077 158864 198580 258154 397160 516308 645385 794320 1032616 1290770 1678001 2065232 2581540 3356002 5163080 6712004 8390005 10326160 13424008 16780010 26848016 33560020 67120040 134240080