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20118672 = 243376653
BaseRepresentation
bin100110010111…
…1110010010000
31101212010122000
41030233302100
520122244142
61555114000
7333002010
oct114576220
941763560
1020118672
11103a1502
1268a2900
134225452
142959c40
151b7614c
hex132fc90

20118672 has 80 divisors (see below), whose sum is σ = 66007680. Its totient is φ = 5747328.

The previous prime is 20118661. The next prime is 20118677. The reversal of 20118672 is 27681102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20118677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303 + ... + 6350.

It is an arithmetic number, because the mean of its divisors is an integer number (825096).

Almost surely, 220118672 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 20118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33003840).

20118672 is an abundant number, since it is smaller than the sum of its proper divisors (45889008).

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

20118672 is a wasteful number, since it uses less digits than its factorization.

20118672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20118672 is about 4485.3842644750. The cubic root of 20118672 is about 271.9775788900.

Adding to 20118672 its reverse (27681102), we get a palindrome (47799774).

The spelling of 20118672 in words is "twenty million, one hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6653 13306 19959 26612 39918 46571 53224 59877 79836 93142 106448 119754 139713 159672 179631 186284 239508 279426 319344 359262 372568 419139 479016 558852 718524 745136 838278 958032 1117704 1257417 1437048 1676556 2235408 2514834 2874096 3353112 5029668 6706224 10059336 20118672