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275420200 = 235211219599
BaseRepresentation
bin10000011010101…
…001010000101000
3201012020210111011
4100122221100220
51031001421300
643155113304
76553014226
oct2032512050
9635223434
10275420200
11131516300
12782a2834
13450a2c43
1428815b16
15192a5eba
hex106a9428

275420200 has 144 divisors (see below), whose sum is σ = 742140000. Its totient is φ = 94723200.

The previous prime is 275420113. The next prime is 275420207. The reversal of 275420200 is 2024572.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (275420207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459501 + ... + 460099.

It is an arithmetic number, because the mean of its divisors is an integer number (5153750).

Almost surely, 2275420200 is an apocalyptic number.

275420200 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 275420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371070000).

275420200 is an abundant number, since it is smaller than the sum of its proper divisors (466719800).

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

275420200 is a wasteful number, since it uses less digits than its factorization.

275420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 275420200 is about 16595.7886224186. The cubic root of 275420200 is about 650.6267721572.

Adding to 275420200 its reverse (2024572), we get a palindrome (277444772).

The spelling of 275420200 in words is "two hundred seventy-five million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 121 152 190 200 209 220 242 275 380 418 440 475 484 550 599 605 760 836 950 968 1045 1100 1198 1210 1672 1900 2090 2200 2299 2396 2420 2995 3025 3800 4180 4598 4792 4840 5225 5990 6050 6589 8360 9196 10450 11381 11495 11980 12100 13178 14975 18392 20900 22762 22990 23960 24200 26356 29950 32945 41800 45524 45980 52712 56905 57475 59900 65890 72479 91048 91960 113810 114950 119800 125191 131780 144958 164725 227620 229900 250382 263560 284525 289916 329450 362395 455240 459800 500764 569050 579832 625955 658900 724790 1001528 1138100 1251910 1317800 1377101 1449580 1811975 2276200 2503820 2754202 2899160 3129775 3623950 5007640 5508404 6259550 6885505 7247900 11016808 12519100 13771010 14495800 25038200 27542020 34427525 55084040 68855050 137710100 275420200