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20986992 = 24331337101
BaseRepresentation
bin101000000001…
…1110001110000
31110111020202000
41100003301300
520333040432
62025454000
7343246365
oct120036160
943436660
1020986992
1110934924
127041300
13446a750
142b0446c
151c9857c
hex1403c70

20986992 has 160 divisors (see below), whose sum is σ = 67287360. Its totient is φ = 6220800.

The previous prime is 20986991. The next prime is 20987023. The reversal of 20986992 is 29968902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20986991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207742 + ... + 207842.

It is an arithmetic number, because the mean of its divisors is an integer number (420546).

Almost surely, 220986992 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 20986992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643680).

20986992 is an abundant number, since it is smaller than the sum of its proper divisors (46300368).

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

20986992 is a wasteful number, since it uses less digits than its factorization.

20986992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 20986992 is about 4581.1561859426. The cubic root of 20986992 is about 275.8354406567.

The spelling of 20986992 in words is "twenty million, nine hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 101 104 108 111 117 144 148 156 202 208 216 222 234 296 303 312 333 351 404 432 444 468 481 592 606 624 666 702 808 888 909 936 962 999 1212 1313 1332 1404 1443 1616 1776 1818 1872 1924 1998 2424 2626 2664 2727 2808 2886 3636 3737 3848 3939 3996 4329 4848 5252 5328 5454 5616 5772 7272 7474 7696 7878 7992 8658 10504 10908 11211 11544 11817 12987 14544 14948 15756 15984 17316 21008 21816 22422 23088 23634 25974 29896 31512 33633 34632 35451 43632 44844 47268 48581 51948 59792 63024 67266 69264 70902 89688 94536 97162 100899 103896 134532 141804 145743 179376 189072 194324 201798 207792 269064 283608 291486 388648 403596 437229 538128 567216 582972 777296 807192 874458 1165944 1311687 1614384 1748916 2331888 2623374 3497832 5246748 6995664 10493496 20986992