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36540660 = 22351379593
BaseRepresentation
bin1000101101100…
…1000011110100
32112202110100210
42023121003310
533323300120
63343105420
7622406352
oct213310364
975673323
1036540660
11196985a2
12102a2270
1377550c0
144bd27d2
15331bce0
hex22d90f4

36540660 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 8865792.

The previous prime is 36540659. The next prime is 36540671. The reversal of 36540660 is 6604563.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61324 + ... + 61916.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 236540660 is an apocalyptic number.

36540660 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 36540660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

36540660 is an abundant number, since it is smaller than the sum of its proper divisors (75226380).

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

36540660 is a wasteful number, since it uses less digits than its factorization.

36540660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 36540660 is about 6044.8870957198. The cubic root of 36540660 is about 331.8374997084.

It can be divided in two parts, 3 and 6540660, that multiplied together give a triangular number (19621980 = T6264).

The spelling of 36540660 in words is "thirty-six million, five hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 593 780 790 948 1027 1185 1186 1580 1779 2054 2370 2372 2965 3081 3558 4108 4740 5135 5930 6162 7116 7709 8895 10270 11860 12324 15405 15418 17790 20540 23127 30810 30836 35580 38545 46254 46847 61620 77090 92508 93694 115635 140541 154180 187388 231270 234235 281082 462540 468470 562164 609011 702705 936940 1218022 1405410 1827033 2436044 2810820 3045055 3654066 6090110 7308132 9135165 12180220 18270330 36540660