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20158848 = 273319307
BaseRepresentation
bin100110011100…
…1100110000000
31101221011202000
41030321212000
520130040343
62000024000
7333230103
oct114714600
941834660
1020158848
1110419706
126902000
13423a818
14296a73a
151b82ed3
hex1339980

20158848 has 128 divisors (see below), whose sum is σ = 62832000. Its totient is φ = 6345216.

The previous prime is 20158843. The next prime is 20158871. The reversal of 20158848 is 84885102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20158843) 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, 65511 + ... + 65817.

It is an arithmetic number, because the mean of its divisors is an integer number (490875).

Almost surely, 220158848 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 20158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31416000).

20158848 is an abundant number, since it is smaller than the sum of its proper divisors (42673152).

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

20158848 is a wasteful number, since it uses less digits than its factorization.

20158848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 20158848 is about 4489.8605768999. The cubic root of 20158848 is about 272.1585004692.

It can be divided in two parts, 201 and 58848, that added together give a 10-th power (59049 = 310).

The spelling of 20158848 in words is "twenty million, one hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 307 342 384 432 456 513 576 608 614 684 864 912 921 1026 1152 1216 1228 1368 1728 1824 1842 2052 2432 2456 2736 2763 3456 3648 3684 4104 4912 5472 5526 5833 7296 7368 8208 8289 9824 10944 11052 11666 14736 16416 16578 17499 19648 21888 22104 23332 29472 32832 33156 34998 39296 44208 46664 52497 58944 65664 66312 69996 88416 93328 104994 117888 132624 139992 157491 176832 186656 209988 265248 279984 314982 353664 373312 419976 530496 559968 629964 746624 839952 1060992 1119936 1259928 1679904 2239872 2519856 3359808 5039712 6719616 10079424 20158848