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136686060 = 223257831307
BaseRepresentation
bin10000010010110…
…10100111101100
3100112012101000200
420021122213230
5234442423220
621321353500
73246545430
oct1011324754
9315171020
10136686060
1170179295
1239938890
1322419b34
14142209c0
15beee890
hex825a9ec

136686060 has 144 divisors (see below), whose sum is σ = 479920896. Its totient is φ = 30842496.

The previous prime is 136686059. The next prime is 136686061. The reversal of 136686060 is 60686631.

It is an interprime number because it is at equal distance from previous prime (136686059) and next prime (136686061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136686061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103927 + ... + 105233.

It is an arithmetic number, because the mean of its divisors is an integer number (3332784).

Almost surely, 2136686060 is an apocalyptic number.

136686060 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 136686060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239960448).

136686060 is an abundant number, since it is smaller than the sum of its proper divisors (343234836).

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

136686060 is a wasteful number, since it uses less digits than its factorization.

136686060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136686060 is about 11691.2813668990. The cubic root of 136686060 is about 515.1196002115.

The spelling of 136686060 in words is "one hundred thirty-six million, six hundred eighty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 747 830 996 1162 1245 1260 1307 1494 1660 1743 2324 2490 2614 2905 2988 3486 3735 3921 4980 5228 5229 5810 6535 6972 7470 7842 8715 9149 10458 11620 11763 13070 14940 15684 17430 18298 19605 20916 23526 26140 26145 27447 34860 36596 39210 45745 47052 52290 54894 58815 78420 82341 91490 104580 108481 109788 117630 137235 164682 182980 216962 235260 274470 325443 329364 411705 433924 542405 548940 650886 759367 823410 976329 1084810 1301772 1518734 1627215 1646820 1952658 2169620 2278101 3037468 3254430 3796835 3905316 4556202 4881645 6508860 6834303 7593670 9112404 9763290 11390505 13668606 15187340 19526580 22781010 27337212 34171515 45562020 68343030 136686060