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134732080 = 2457475119
BaseRepresentation
bin10000000011111…
…01100100110000
3100101112002200001
420001331210300
5233442411310
621211435344
73224126620
oct1001754460
9311462601
10134732080
116a06422a
1239155b54
1321bb4632
1413c72880
15bc6593a
hex807d930

134732080 has 80 divisors (see below), whose sum is σ = 365690880. Its totient is φ = 45202176.

The previous prime is 134732069. The next prime is 134732099. The reversal of 134732080 is 80237431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1347320802 = 36305466762252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23761 + ... + 28879.

It is an arithmetic number, because the mean of its divisors is an integer number (4571136).

Almost surely, 2134732080 is an apocalyptic number.

134732080 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 134732080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

134732080 is an abundant number, since it is smaller than the sum of its proper divisors (230958800).

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

134732080 is a wasteful number, since it uses less digits than its factorization.

134732080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 134732080 is about 11607.4148715379. The cubic root of 134732080 is about 512.6531986979.

The spelling of 134732080 in words is "one hundred thirty-four million, seven hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5119 5264 6580 10238 13160 20476 25595 26320 35833 40952 51190 71666 81904 102380 143332 179165 204760 240593 286664 358330 409520 481186 573328 716660 962372 1202965 1433320 1684151 1924744 2405930 2866640 3368302 3849488 4811860 6736604 8420755 9623720 13473208 16841510 19247440 26946416 33683020 67366040 134732080