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134365080 = 23352389547
BaseRepresentation
bin10000000001000…
…11111110011000
3100100211110020110
420000203332120
5233344140310
621155524320
73221040633
oct1000437630
9310743213
10134365080
1169933523
1238bb96a0
1321ab6585
1413bb8c1a
15bbe1d20
hex8023f98

134365080 has 128 divisors (see below), whose sum is σ = 426124800. Its totient is φ = 33825792.

The previous prime is 134365073. The next prime is 134365081. The reversal of 134365080 is 80563431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134365081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 245367 + ... + 245913.

It is an arithmetic number, because the mean of its divisors is an integer number (3329100).

Almost surely, 2134365080 is an apocalyptic number.

134365080 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 134365080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213062400).

134365080 is an abundant number, since it is smaller than the sum of its proper divisors (291759720).

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

134365080 is a wasteful number, since it uses less digits than its factorization.

134365080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 134365080 is about 11591.5952310284. The cubic root of 134365080 is about 512.1872992312.

The spelling of 134365080 in words is "one hundred thirty-four million, three hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 345 356 445 460 534 547 552 690 712 890 920 1068 1094 1335 1380 1641 1780 2047 2136 2188 2670 2735 2760 3282 3560 4094 4376 5340 5470 6141 6564 8188 8205 10235 10680 10940 12282 12581 13128 16376 16410 20470 21880 24564 25162 30705 32820 37743 40940 48683 49128 50324 61410 62905 65640 75486 81880 97366 100648 122820 125810 146049 150972 188715 194732 243415 245640 251620 292098 301944 377430 389464 486830 503240 584196 730245 754860 973660 1119709 1168392 1460490 1509720 1947320 2239418 2920980 3359127 4478836 5598545 5841960 6718254 8957672 11197090 13436508 16795635 22394180 26873016 33591270 44788360 67182540 134365080