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20889360 = 2433519509
BaseRepresentation
bin100111110101…
…1111100010000
31110022021211000
41033223330100
520321424420
62023422000
7342361632
oct117537420
943267730
1020889360
1110878538
126bb4900
13443518b
142abaa52
151c79690
hex13ebf10

20889360 has 160 divisors (see below), whose sum is σ = 75888000. Its totient is φ = 5266944.

The previous prime is 20889347. The next prime is 20889373. The reversal of 20889360 is 6398802.

It is an interprime number because it is at equal distance from previous prime (20889347) and next prime (20889373).

It is a super-2 number, since 2×208893602 = 872730722419200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40786 + ... + 41294.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 220889360 is an apocalyptic number.

20889360 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 20889360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000).

20889360 is an abundant number, since it is smaller than the sum of its proper divisors (54998640).

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

20889360 is a wasteful number, since it uses less digits than its factorization.

20889360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20889360 is about 4570.4879389404. The cubic root of 20889360 is about 275.4070445937.

The spelling of 20889360 in words is "twenty million, eight hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 509 513 540 570 684 720 760 855 912 1018 1026 1080 1140 1368 1520 1527 1710 2036 2052 2160 2280 2545 2565 2736 3054 3420 4072 4104 4560 4581 5090 5130 6108 6840 7635 8144 8208 9162 9671 10180 10260 12216 13680 13743 15270 18324 19342 20360 20520 22905 24432 27486 29013 30540 36648 38684 40720 41040 45810 48355 54972 58026 61080 68715 73296 77368 87039 91620 96710 109944 116052 122160 137430 145065 154736 174078 183240 193420 219888 232104 261117 274860 290130 348156 366480 386840 435195 464208 522234 549720 580260 696312 773680 870390 1044468 1099440 1160520 1305585 1392624 1740780 2088936 2321040 2611170 3481560 4177872 5222340 6963120 10444680 20889360