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36427020 = 22357432017
BaseRepresentation
bin1000101011110…
…1010100001100
32112112200110220
42022331110030
533311131040
63340431340
7621424140
oct212752414
975480426
1036427020
1119620183
1210248550
137715466
144ba3220
1532e82d0
hex22bd50c

36427020 has 96 divisors (see below), whose sum is σ = 119336448. Its totient is φ = 8128512.

The previous prime is 36427003. The next prime is 36427057. The reversal of 36427020 is 2072463.

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, 17052 + ... + 19068.

It is an arithmetic number, because the mean of its divisors is an integer number (1243088).

Almost surely, 236427020 is an apocalyptic number.

36427020 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 36427020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59668224).

36427020 is an abundant number, since it is smaller than the sum of its proper divisors (82909428).

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

36427020 is a wasteful number, since it uses less digits than its factorization.

36427020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 36427020 is about 6035.4800968937. The cubic root of 36427020 is about 331.4931420042.

Adding to 36427020 its reverse (2072463), we get a palindrome (38499483).

The spelling of 36427020 in words is "thirty-six million, four hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2017 2580 3010 3612 4034 4515 6020 6051 8068 9030 10085 12102 14119 18060 20170 24204 28238 30255 40340 42357 56476 60510 70595 84714 86731 121020 141190 169428 173462 211785 260193 282380 346924 423570 433655 520386 607117 847140 867310 1040772 1214234 1300965 1734620 1821351 2428468 2601930 3035585 3642702 5203860 6071170 7285404 9106755 12142340 18213510 36427020