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36016540 = 22571737409
BaseRepresentation
bin1000100101100…
…1000110011100
32111202211101221
42021121012130
533210012130
63323543124
7615064330
oct211310634
974684357
1036016540
111936a83a
121008aaa4
137600681
144ad77c0
15326687a
hex225919c

36016540 has 96 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 11280384.

The previous prime is 36016531. The next prime is 36016553. The reversal of 36016540 is 4561063.

It is a congruent number.

It is an unprimeable number.

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, 87856 + ... + 88264.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 236016540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).

36016540 is an abundant number, since it is smaller than the sum of its proper divisors (58211300).

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

36016540 is a wasteful number, since it uses less digits than its factorization.

36016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36016540 is about 6001.3781750528. The cubic root of 36016540 is about 330.2432855513.

It can be divided in two parts, 360 and 16540, that added together give a square (16900 = 1302).

The spelling of 36016540 in words is "thirty-six million, sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 409 476 518 595 629 740 818 1036 1190 1258 1295 1636 2045 2380 2516 2590 2863 3145 4090 4403 5180 5726 6290 6953 8180 8806 11452 12580 13906 14315 15133 17612 22015 27812 28630 30266 34765 44030 48671 57260 60532 69530 75665 88060 97342 105931 139060 151330 194684 211862 243355 257261 302660 423724 486710 514522 529655 973420 1029044 1059310 1286305 1800827 2118620 2572610 3601654 5145220 7203308 9004135 18008270 36016540