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270103720 = 235231372143
BaseRepresentation
bin10000000110010…
…111010010101000
3200211020200122111
4100012113102220
51023121304340
642445132104
76456562255
oct2006272250
9624220574
10270103720
11129514a17
127655a034
1343c610b3
1427c3042c
1518aa5aea
hex101974a8

270103720 has 64 divisors (see below), whose sum is σ = 639083520. Its totient is φ = 102541824.

The previous prime is 270103703. The next prime is 270103739. The reversal of 270103720 is 27301072.

270103720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 270103691 and 270103700.

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, 124969 + ... + 127111.

It is an arithmetic number, because the mean of its divisors is an integer number (9985680).

Almost surely, 2270103720 is an apocalyptic number.

270103720 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 270103720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319541760).

270103720 is an abundant number, since it is smaller than the sum of its proper divisors (368979800).

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

270103720 is a wasteful number, since it uses less digits than its factorization.

270103720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 270103720 is about 16434.8325212033. The cubic root of 270103720 is about 646.4131586238.

Adding to 270103720 its reverse (27301072), we get a palindrome (297404792).

The spelling of 270103720 in words is "two hundred seventy million, one hundred three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 137 184 230 274 460 548 685 920 1096 1370 2143 2740 3151 4286 5480 6302 8572 10715 12604 15755 17144 21430 25208 31510 42860 49289 63020 85720 98578 126040 197156 246445 293591 394312 492890 587182 985780 1174364 1467955 1971560 2348728 2935910 5871820 6752593 11743640 13505186 27010372 33762965 54020744 67525930 135051860 270103720