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36009780 = 22357179107
BaseRepresentation
bin1000100101011…
…1011100110100
32111202111010120
42021113130310
533204303110
63323451540
7615035532
oct211273464
974674116
1036009780
1119365754
1210086bb0
1375ca581
144ad5152
153264870
hex2257734

36009780 has 96 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 9260160.

The previous prime is 36009773. The next prime is 36009781. The reversal of 36009780 is 8790063.

It is a happy number.

36009780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36009781) 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 31 ways as a sum of consecutive naturals, for example, 336487 + ... + 336593.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 236009780 is an apocalyptic number.

36009780 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 36009780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

36009780 is an abundant number, since it is smaller than the sum of its proper divisors (68499660).

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

36009780 is a wasteful number, since it uses less digits than its factorization.

36009780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 36009780 is about 6000.8149446554. The cubic root of 36009780 is about 330.2226229678. Note that the first 3 decimals are identical.

The spelling of 36009780 in words is "thirty-six million, nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 79 107 142 158 213 214 237 284 316 321 355 395 426 428 474 535 642 710 790 852 948 1065 1070 1185 1284 1420 1580 1605 2130 2140 2370 3210 4260 4740 5609 6420 7597 8453 11218 15194 16827 16906 22436 22791 25359 28045 30388 33654 33812 37985 42265 45582 50718 56090 67308 75970 84135 84530 91164 101436 112180 113955 126795 151940 168270 169060 227910 253590 336540 455820 507180 600163 1200326 1800489 2400652 3000815 3600978 6001630 7201956 9002445 12003260 18004890 36009780