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20889180 = 223251379113
BaseRepresentation
bin100111110101…
…1111001011100
31110022021120100
41033223321130
520321423210
62023421100
7342361254
oct117537134
943267510
1020889180
1110878394
126bb4790
134435080
142aba964
151c795c0
hex13ebe5c

20889180 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 5031936.

The previous prime is 20889179. The next prime is 20889199. The reversal of 20889180 is 8198802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184804 + ... + 184916.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 220889180 is an apocalyptic number.

20889180 is a gapful number since it is divisible by the number (20) 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 20889180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

20889180 is an abundant number, since it is smaller than the sum of its proper divisors (48824100).

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

20889180 is a wasteful number, since it uses less digits than its factorization.

20889180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 20889180 is about 4570.4682473462. The cubic root of 20889180 is about 275.4062535464.

The spelling of 20889180 in words is "twenty million, eight hundred eighty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 113 117 130 156 158 180 195 226 234 237 260 316 339 390 395 452 468 474 565 585 678 711 780 790 948 1017 1027 1130 1170 1185 1356 1422 1469 1580 1695 2034 2054 2260 2340 2370 2844 2938 3081 3390 3555 4068 4108 4407 4740 5085 5135 5876 6162 6780 7110 7345 8814 8927 9243 10170 10270 12324 13221 14220 14690 15405 17628 17854 18486 20340 20540 22035 26442 26781 29380 30810 35708 36972 44070 44635 46215 52884 53562 61620 66105 80343 88140 89270 92430 107124 116051 132210 133905 160686 178540 184860 232102 264420 267810 321372 348153 401715 464204 535620 580255 696306 803430 1044459 1160510 1392612 1606860 1740765 2088918 2321020 3481530 4177836 5222295 6963060 10444590 20889180