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20136132 = 22322383293
BaseRepresentation
bin100110011010…
…0000011000100
31101220000120200
41030310003010
520123324012
61555330500
7333103632
oct114640304
941800520
1020136132
1110403635
1268b0a30
134230393
142962352
151b7b3dc
hex13340c4

20136132 has 72 divisors (see below), whose sum is σ = 53936064. Its totient is φ = 6321216.

The previous prime is 20136119. The next prime is 20136167. The reversal of 20136132 is 23163102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68578 + ... + 68870.

It is an arithmetic number, because the mean of its divisors is an integer number (749112).

Almost surely, 220136132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20136132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968032).

20136132 is an abundant number, since it is smaller than the sum of its proper divisors (33799932).

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

20136132 is a wasteful number, since it uses less digits than its factorization.

20136132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20136132 is about 4487.3301639171. The cubic root of 20136132 is about 272.0562347685.

Adding to 20136132 its reverse (23163102), we get a palindrome (43299234).

The spelling of 20136132 in words is "twenty million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 166 207 249 276 293 332 414 498 586 747 828 879 996 1172 1494 1758 1909 2637 2988 3516 3818 5274 5727 6739 7636 10548 11454 13478 17181 20217 22908 24319 26956 34362 40434 48638 60651 68724 72957 80868 97276 121302 145914 218871 242604 291828 437742 559337 875484 1118674 1678011 2237348 3356022 5034033 6712044 10068066 20136132