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20740160 = 265747197
BaseRepresentation
bin100111100011…
…1100001000000
31110000201011002
41033013201000
520302141120
62020311132
7341200640
oct117074100
943021132
1020740160
1110786431
126b424a8
1343b22ac
142a7c520
151c4a375
hex13c7840

20740160 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 6924288.

The previous prime is 20740127. The next prime is 20740163. The reversal of 20740160 is 6104702.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20740163) 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, 105182 + ... + 105378.

Almost surely, 220740160 is an apocalyptic number.

20740160 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 20740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

20740160 is an abundant number, since it is smaller than the sum of its proper divisors (37196224).

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

20740160 is a wasteful number, since it uses less digits than its factorization.

20740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 20740160 is about 4554.1365811754. The cubic root of 20740160 is about 274.7497889413.

Adding to 20740160 its reverse (6104702), we get a palindrome (26844862).

The spelling of 20740160 in words is "twenty million, seven hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 140 160 188 197 224 235 280 320 329 376 394 448 470 560 658 752 788 940 985 1120 1316 1379 1504 1576 1645 1880 1970 2240 2632 2758 3008 3152 3290 3760 3940 5264 5516 6304 6580 6895 7520 7880 9259 10528 11032 12608 13160 13790 15040 15760 18518 21056 22064 26320 27580 31520 37036 44128 46295 52640 55160 63040 64813 74072 88256 92590 105280 110320 129626 148144 185180 220640 259252 296288 324065 370360 441280 518504 592576 648130 740720 1037008 1296260 1481440 2074016 2592520 2962880 4148032 5185040 10370080 20740160