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270103900 = 2252114153113
BaseRepresentation
bin10000000110010…
…111010101011100
3200211020200220011
4100012113111130
51023121311100
642445133004
76456562633
oct2006272534
9624220804
10270103900
11129515070
127655a164
1343c611c1
1427c3051a
1518aa5bba
hex1019755c

270103900 has 144 divisors (see below), whose sum is σ = 673269408. Its totient is φ = 93184000.

The previous prime is 270103849. The next prime is 270103901. The reversal of 270103900 is 9301072.

It is a super-2 number, since 2×2701039002 = 145912233590420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270103901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390244 + ... + 2390356.

It is an arithmetic number, because the mean of its divisors is an integer number (4675482).

Almost surely, 2270103900 is an apocalyptic number.

270103900 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 270103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336634704).

270103900 is an abundant number, since it is smaller than the sum of its proper divisors (403165508).

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

270103900 is a wasteful number, since it uses less digits than its factorization.

270103900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 270103900 is about 16434.8379973762. The cubic root of 270103900 is about 646.4133022160.

Adding to 270103900 its reverse (9301072), we get a palindrome (279404972).

The spelling of 270103900 in words is "two hundred seventy million, one hundred three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 53 55 82 100 106 110 113 164 205 212 220 226 265 275 410 451 452 530 550 565 583 820 902 1025 1060 1100 1130 1166 1243 1325 1804 2050 2173 2255 2260 2332 2486 2650 2825 2915 4100 4346 4510 4633 4972 5300 5650 5830 5989 6215 8692 9020 9266 10865 11275 11300 11660 11978 12430 14575 18532 21730 22550 23165 23903 23956 24860 29150 29945 31075 43460 45100 46330 47806 50963 54325 58300 59890 62150 65879 92660 95612 101926 108650 115825 119515 119780 124300 131758 149725 203852 217300 231650 239030 245549 254815 263516 299450 329395 463300 478060 491098 509630 597575 598900 658790 982196 1019260 1195150 1227745 1274075 1317580 1646975 2390300 2455490 2548150 2701039 3293950 4910980 5096300 5402078 6138725 6587900 10804156 12277450 13505195 24554900 27010390 54020780 67525975 135051950 270103900