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20006136 = 2333234027
BaseRepresentation
bin100110001010…
…0010011111000
31101122102021000
41030110103320
520110144021
61552445000
7332022633
oct114242370
941572230
1020006136
11103249a7
126849760
1341b6167
14292ac1a
151b52b26
hex13144f8

20006136 has 64 divisors (see below), whose sum is σ = 58003200. Its totient is φ = 6377184.

The previous prime is 20006123. The next prime is 20006149. The reversal of 20006136 is 63160002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20006123) and next prime (20006149).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955 + ... + 6981.

It is an arithmetic number, because the mean of its divisors is an integer number (906300).

Almost surely, 220006136 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 20006136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29001600).

20006136 is an abundant number, since it is smaller than the sum of its proper divisors (37997064).

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

20006136 is a wasteful number, since it uses less digits than its factorization.

20006136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4055 counting only the distinct ones).

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

The square root of 20006136 is about 4472.8219280450. The cubic root of 20006136 is about 271.4695182653.

Adding to 20006136 its reverse (63160002), we get a palindrome (83166138).

The spelling of 20006136 in words is "twenty million, six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4027 4968 8054 12081 16108 24162 32216 36243 48324 72486 92621 96648 108729 144972 185242 217458 277863 289944 370484 434916 555726 740968 833589 869832 1111452 1667178 2222904 2500767 3334356 5001534 6668712 10003068 20006136