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20010672 = 2433114211
BaseRepresentation
bin100110001010…
…1011010110000
31101122122111000
41030111122300
520110320142
61552522000
7332042103
oct114253260
941578430
1020010672
1110328350
126850300
1341b8246
14292c73a
151b5414c
hex13156b0

20010672 has 80 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 6062400.

The previous prime is 20010637. The next prime is 20010691. The reversal of 20010672 is 27601002.

It is a happy number.

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

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, 2647 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 220010672 is an apocalyptic number.

20010672 is a gapful number since it is divisible by the number (22) 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 20010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

20010672 is an abundant number, since it is smaller than the sum of its proper divisors (42663888).

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

20010672 is a wasteful number, since it uses less digits than its factorization.

20010672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20010672 is about 4473.3289617465. The cubic root of 20010672 is about 271.4900335159.

Adding to 20010672 its reverse (27601002), we get a palindrome (47611674).

The spelling of 20010672 in words is "twenty million, ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4211 4752 8422 12633 16844 25266 33688 37899 46321 50532 67376 75798 92642 101064 113697 138963 151596 185284 202128 227394 277926 303192 370568 416889 454788 555852 606384 741136 833778 909576 1111704 1250667 1667556 1819152 2223408 2501334 3335112 5002668 6670224 10005336 20010672