Search a number
-
+
21173160 = 23351797107
BaseRepresentation
bin101000011000…
…1001110101000
31110211201010010
41100301032220
520410020120
62033451520
7344653221
oct120611650
943751103
1021173160
1110a51788
127110ba0
1345043c8
142b52248
151cd37e0
hex14313a8

21173160 has 128 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 5210112.

The previous prime is 21173147. The next prime is 21173167. The reversal of 21173160 is 6137112.

21173160 = 11082 + 11092 + ... + 11242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21173167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197827 + ... + 197933.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 221173160 is an apocalyptic number.

21173160 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 21173160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

21173160 is an abundant number, since it is smaller than the sum of its proper divisors (47411160).

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

21173160 is a wasteful number, since it uses less digits than its factorization.

21173160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 21173160 is about 4601.4302124448. The cubic root of 21173160 is about 276.6486528811.

The spelling of 21173160 in words is "twenty-one million, one hundred seventy-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 97 102 107 120 136 170 194 204 214 255 291 321 340 388 408 428 485 510 535 582 642 680 776 856 970 1020 1070 1164 1284 1455 1605 1649 1819 1940 2040 2140 2328 2568 2910 3210 3298 3638 3880 4280 4947 5457 5820 6420 6596 7276 8245 9095 9894 10379 10914 11640 12840 13192 14552 16490 18190 19788 20758 21828 24735 27285 31137 32980 36380 39576 41516 43656 49470 51895 54570 62274 65960 72760 83032 98940 103790 109140 124548 155685 176443 197880 207580 218280 249096 311370 352886 415160 529329 622740 705772 882215 1058658 1245480 1411544 1764430 2117316 2646645 3528860 4234632 5293290 7057720 10586580 21173160