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20741160 = 23351119827
BaseRepresentation
bin100111100011…
…1110000101000
31110000202112010
41033013300220
520302204120
62020315520
7341203566
oct117076050
943022463
1020741160
1110787160
126b42ba0
1343b289b
142a7ca36
151c4a7e0
hex13c7c28

20741160 has 128 divisors (see below), whose sum is σ = 71539200. Its totient is φ = 4757760.

The previous prime is 20741153. The next prime is 20741167. The reversal of 20741160 is 6114702.

It is an interprime number because it is at equal distance from previous prime (20741153) and next prime (20741167).

It is not an unprimeable number, because it can be changed into a prime (20741167) 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, 24667 + ... + 25493.

It is an arithmetic number, because the mean of its divisors is an integer number (558900).

Almost surely, 220741160 is an apocalyptic number.

20741160 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 20741160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35769600).

20741160 is an abundant number, since it is smaller than the sum of its proper divisors (50798040).

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

20741160 is a wasteful number, since it uses less digits than its factorization.

20741160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20741160 is about 4554.2463701473. The cubic root of 20741160 is about 274.7542046156.

Adding to 20741160 its reverse (6114702), we get a palindrome (26855862).

The spelling of 20741160 in words is "twenty million, seven hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 827 836 1045 1140 1254 1320 1654 1672 2090 2280 2481 2508 3135 3308 4135 4180 4962 5016 6270 6616 8270 8360 9097 9924 12405 12540 15713 16540 18194 19848 24810 25080 27291 31426 33080 36388 45485 47139 49620 54582 62852 72776 78565 90970 94278 99240 109164 125704 136455 157130 172843 181940 188556 218328 235695 272910 314260 345686 363880 377112 471390 518529 545820 628520 691372 864215 942780 1037058 1091640 1382744 1728430 1885560 2074116 2592645 3456860 4148232 5185290 6913720 10370580 20741160