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36000420 = 2235837229
BaseRepresentation
bin1000100101010…
…1001010100100
32111202000021220
42021111022210
533204003140
63323340340
7614666331
oct211251244
974660256
1036000420
1119359715
12100816b0
1375c6231
144ad1988
153261bd0
hex22552a4

36000420 has 48 divisors (see below), whose sum is σ = 102029760. Its totient is φ = 9483136.

The previous prime is 36000413. The next prime is 36000439. The reversal of 36000420 is 2400063.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36000420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (2125620).

Almost surely, 236000420 is an apocalyptic number.

36000420 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 36000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51014880).

36000420 is an abundant number, since it is smaller than the sum of its proper divisors (66029340).

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

36000420 is a wasteful number, since it uses less digits than its factorization.

36000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36000420 is about 6000.0349998979. The cubic root of 36000420 is about 330.1940089673.

Adding to 36000420 its reverse (2400063), we get a palindrome (38400483).

The spelling of 36000420 in words is "thirty-six million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 7229 14458 21687 28916 36145 43374 72290 86748 108435 144580 216870 433740 600007 1200014 1800021 2400028 3000035 3600042 6000070 7200084 9000105 12000140 18000210 36000420