Search a number
-
+
20731392 = 293211409
BaseRepresentation
bin100111100010…
…1011000000000
31110000021010100
41033011120000
520301401032
62020202400
7341133243
oct117053000
943007110
1020731392
111077a890
126b39400
1343ab2c6
142a7925a
151c4797c
hex13c5600

20731392 has 120 divisors (see below), whose sum is σ = 65431080. Its totient is φ = 6266880.

The previous prime is 20731391. The next prime is 20731397. The reversal of 20731392 is 29313702.

It is a super-2 number, since 2×207313922 = 859581228515328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20731391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50484 + ... + 50892.

It is an arithmetic number, because the mean of its divisors is an integer number (545259).

Almost surely, 220731392 is an apocalyptic number.

20731392 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 20731392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715540).

20731392 is an abundant number, since it is smaller than the sum of its proper divisors (44699688).

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

20731392 is a wasteful number, since it uses less digits than its factorization.

20731392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20731392 is about 4553.1738381046. The cubic root of 20731392 is about 274.7110662297.

The spelling of 20731392 in words is "twenty million, seven hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 409 512 528 576 704 768 792 818 1056 1152 1227 1408 1536 1584 1636 2112 2304 2454 2816 3168 3272 3681 4224 4499 4608 4908 5632 6336 6544 7362 8448 8998 9816 12672 13088 13497 14724 16896 17996 19632 25344 26176 26994 29448 35992 39264 40491 50688 52352 53988 58896 71984 78528 80982 104704 107976 117792 143968 157056 161964 209408 215952 235584 287936 314112 323928 431904 471168 575872 628224 647856 863808 942336 1151744 1295712 1727616 1884672 2303488 2591424 3455232 5182848 6910464 10365696 20731392