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36066060 = 2235541181
BaseRepresentation
bin1000100110010…
…1001100001100
32111212100100000
42021211030030
533213103220
63325004300
7615361602
oct211451414
974770300
1036066060
11193a3a68
12100b3690
13761a084
144b0b872
153276390
hex226530c

36066060 has 144 divisors (see below), whose sum is σ = 116861472. Its totient is φ = 9331200.

The previous prime is 36066049. The next prime is 36066071. The reversal of 36066060 is 6066063.

It is an interprime number because it is at equal distance from previous prime (36066049) and next prime (36066071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199170 + ... + 199350.

It is an arithmetic number, because the mean of its divisors is an integer number (811538).

Almost surely, 236066060 is an apocalyptic number.

36066060 is a gapful number since it is divisible by the number (30) 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 36066060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58430736).

36066060 is an abundant number, since it is smaller than the sum of its proper divisors (80795412).

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

36066060 is a wasteful number, since it uses less digits than its factorization.

36066060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36066060 is about 6005.5024768957. The cubic root of 36066060 is about 330.3945693616.

The spelling of 36066060 in words is "thirty-six million, sixty-six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 181 205 243 246 270 324 362 369 405 410 486 492 540 543 615 724 738 810 820 905 972 1086 1107 1215 1230 1476 1620 1629 1810 1845 2172 2214 2430 2460 2715 3258 3321 3620 3690 4428 4860 4887 5430 5535 6516 6642 7380 7421 8145 9774 9963 10860 11070 13284 14661 14842 16290 16605 19548 19926 22140 22263 24435 29322 29684 32580 33210 37105 39852 43983 44526 48870 49815 58644 66420 66789 73305 74210 87966 89052 97740 99630 111315 133578 146610 148420 175932 199260 200367 219915 222630 267156 293220 333945 400734 439830 445260 601101 667890 801468 879660 1001835 1202202 1335780 1803303 2003670 2404404 3005505 3606606 4007340 6011010 7213212 9016515 12022020 18033030 36066060