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36100020 = 22351183659
BaseRepresentation
bin1000100110110…
…1011110110100
32111221001220210
42021231132310
533220200040
63325425420
7615562605
oct211553664
974831823
1036100020
1119417530
121010b270
13762c678
144b19dac
153281480
hex226d7b4

36100020 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 8632960.

The previous prime is 36100003. The next prime is 36100073. The reversal of 36100020 is 2000163.

It is a super-2 number, since 2×361000202 = 2606422888000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 36099969 and 36100005.

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, 54451 + ... + 55109.

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

Almost surely, 236100020 is an apocalyptic number.

36100020 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 36100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

36100020 is an abundant number, since it is smaller than the sum of its proper divisors (75667020).

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

36100020 is a wasteful number, since it uses less digits than its factorization.

36100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 36100020 is about 6008.3292186764. The cubic root of 36100020 is about 330.4982372768.

Adding to 36100020 its reverse (2000163), we get a palindrome (38100183).

The spelling of 36100020 in words is "thirty-six million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 659 660 830 913 996 1245 1318 1660 1826 1977 2490 2636 2739 3295 3652 3954 4565 4980 5478 6590 7249 7908 9130 9885 10956 13180 13695 14498 18260 19770 21747 27390 28996 36245 39540 43494 54697 54780 72490 86988 108735 109394 144980 164091 217470 218788 273485 328182 434940 546970 601667 656364 820455 1093940 1203334 1640910 1805001 2406668 3008335 3281820 3610002 6016670 7220004 9025005 12033340 18050010 36100020