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36272106 = 23213155009
BaseRepresentation
bin1000101001011…
…1011111101010
32112020210222100
42022113133222
533241201411
63333234230
7620210403
oct212273752
975223870
1036272106
1119524852
1210192976
13768cab0
144b629aa
1532b7456
hex22977ea

36272106 has 24 divisors (see below), whose sum is σ = 84635460. Its totient is φ = 11160576.

The previous prime is 36272059. The next prime is 36272107. The reversal of 36272106 is 60127263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36108081 + 164025 = 6009^2 + 405^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36272106.

It is not an unprimeable number, because it can be changed into a prime (36272107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77271 + ... + 77738.

Almost surely, 236272106 is an apocalyptic number.

36272106 is an abundant number, since it is smaller than the sum of its proper divisors (48363354).

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

36272106 is a wasteful number, since it uses less digits than its factorization.

36272106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155030 (or 155027 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36272106 is about 6022.6328129814. The cubic root of 36272106 is about 331.0225581934.

Adding to 36272106 its reverse (60127263), we get a palindrome (96399369).

The spelling of 36272106 in words is "thirty-six million, two hundred seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 155009 310018 465027 930054 1395081 2015117 2790162 4030234 6045351 12090702 18136053 36272106