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20159328 = 2537131229
BaseRepresentation
bin100110011100…
…1101101100000
31101221012101210
41030321231200
520130044303
62000030120
7333231360
oct114715540
941835353
1020159328
111041a002
126902340
13423aac7
14296a9a0
151b83203
hex1339b60

20159328 has 96 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 5690880.

The previous prime is 20159327. The next prime is 20159329. The reversal of 20159328 is 82395102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20159327) and next prime (20159329).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20159295 and 20159304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20159327) 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, 87918 + ... + 88146.

It is an arithmetic number, because the mean of its divisors is an integer number (637560).

Almost surely, 220159328 is an apocalyptic number.

20159328 is a gapful number since it is divisible by the number (28) 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 20159328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602880).

20159328 is an abundant number, since it is smaller than the sum of its proper divisors (41046432).

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

20159328 is a wasteful number, since it uses less digits than its factorization.

20159328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20159328 is about 4489.9140303574. The cubic root of 20159328 is about 272.1606605636.

The spelling of 20159328 in words is "twenty million, one hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 229 262 336 393 458 524 672 687 786 916 917 1048 1374 1572 1603 1832 1834 2096 2748 2751 3144 3206 3664 3668 4192 4809 5496 5502 6288 6412 7328 7336 9618 10992 11004 12576 12824 14672 19236 21984 22008 25648 29344 29999 38472 44016 51296 59998 76944 88032 89997 119996 153888 179994 209993 239992 359988 419986 479984 629979 719976 839972 959968 1259958 1439952 1679944 2519916 2879904 3359888 5039832 6719776 10079664 20159328