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270104000 = 2653191777
BaseRepresentation
bin10000000110010…
…111010111000000
3200211020201000212
4100012113113000
51023121312000
642445133252
76456563135
oct2006272700
9624221025
10270104000
11129515151
127655a228
1343c6126a
1427c3058c
1518aa5c35
hex101975c0

270104000 has 112 divisors (see below), whose sum is σ = 704514720. Its totient is φ = 102297600.

The previous prime is 270103991. The next prime is 270104011. The reversal of 270104000 is 401072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151112 + ... + 152888.

It is an arithmetic number, because the mean of its divisors is an integer number (6290310).

Almost surely, 2270104000 is an apocalyptic number.

270104000 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 270104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352257360).

270104000 is an abundant number, since it is smaller than the sum of its proper divisors (434410720).

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

270104000 is a wasteful number, since it uses less digits than its factorization.

270104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 270104000 is about 16434.8410396937. The cubic root of 270104000 is about 646.4133819894.

Adding to 270104000 its reverse (401072), we get a palindrome (270505072).

The spelling of 270104000 in words is "two hundred seventy million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1777 1900 2000 2375 3040 3554 3800 4000 4750 6080 7108 7600 8000 8885 9500 14216 15200 17770 19000 28432 30400 33763 35540 38000 44425 56864 67526 71080 76000 88850 113728 135052 142160 152000 168815 177700 222125 270104 284320 337630 355400 444250 540208 568640 675260 710800 844075 888500 1080416 1350520 1421600 1688150 1777000 2160832 2701040 2843200 3376300 3554000 4220375 5402080 6752600 7108000 8440750 10804160 13505200 14216000 16881500 27010400 33763000 54020800 67526000 135052000 270104000