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134489680 = 24513891453
BaseRepresentation
bin10000000010000…
…10011001010000
3100101001210011021
420001002121100
5233412132210
621202325224
73222100123
oct1001023120
9311053137
10134489680
1169a090a6
1239059814
1321b2b1c0
1413c0c3ba
15bc18bda
hex8042650

134489680 has 80 divisors (see below), whose sum is σ = 340759440. Its totient is φ = 49065984.

The previous prime is 134489653. The next prime is 134489683. The reversal of 134489680 is 86984431.

It can be written as a sum of positive squares in 8 ways, for example, as 1871424 + 132618256 = 1368^2 + 11516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134489683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91834 + ... + 93286.

It is an arithmetic number, because the mean of its divisors is an integer number (4259493).

Almost surely, 2134489680 is an apocalyptic number.

134489680 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 134489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170379720).

134489680 is an abundant number, since it is smaller than the sum of its proper divisors (206269760).

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

134489680 is a wasteful number, since it uses less digits than its factorization.

134489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 134489680 is about 11596.9685694150. The cubic root of 134489680 is about 512.3455715562.

The spelling of 134489680 in words is "one hundred thirty-four million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 208 260 356 445 520 712 890 1040 1157 1424 1453 1780 2314 2906 3560 4628 5785 5812 7120 7265 9256 11570 11624 14530 18512 18889 23140 23248 29060 37778 46280 58120 75556 92560 94445 116240 129317 151112 188890 258634 302224 377780 517268 646585 755560 1034536 1293170 1511120 1681121 2069072 2586340 3362242 5172680 6724484 8405605 10345360 13448968 16811210 26897936 33622420 67244840 134489680