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2730161300 = 22521941101347
BaseRepresentation
bin1010001010111010…
…1111010010010100
321001021021120020012
42202232233102110
521042410130200
61130524455352
7124440662636
oct24256572224
97037246205
102730161300
111181117659
126423aa558
13346816c79
141bc844a56
1510ea41a35
hexa2baf494

2730161300 has 144 divisors (see below), whose sum is σ = 6470210880. Its totient is φ = 996480000.

The previous prime is 2730161261. The next prime is 2730161303. The reversal of 2730161300 is 31610372.

It is a happy number.

2730161300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730161303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7867727 + ... + 7868073.

It is an arithmetic number, because the mean of its divisors is an integer number (44932020).

Almost surely, 22730161300 is an apocalyptic number.

2730161300 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 2730161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235105440).

2730161300 is an abundant number, since it is smaller than the sum of its proper divisors (3740049580).

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

2730161300 is a wasteful number, since it uses less digits than its factorization.

2730161300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 2730161300 is about 52250.9454459917. The cubic root of 2730161300 is about 1397.6425119989.

Adding to 2730161300 its reverse (31610372), we get a palindrome (2761771672).

The spelling of 2730161300 in words is "two billion, seven hundred thirty million, one hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 101 164 190 202 205 347 380 404 410 475 505 694 779 820 950 1010 1025 1388 1558 1735 1900 1919 2020 2050 2525 3116 3470 3838 3895 4100 4141 5050 6593 6940 7676 7790 8282 8675 9595 10100 13186 14227 15580 16564 17350 19190 19475 20705 26372 28454 32965 34700 35047 38380 38950 41410 47975 56908 65930 70094 71135 77900 78679 82820 95950 103525 131860 140188 142270 157358 164825 175235 191900 207050 270313 284540 314716 329650 350470 355675 393395 414100 540626 659300 665893 700940 711350 786790 876175 1081252 1331786 1351565 1422700 1436927 1573580 1752350 1966975 2663572 2703130 2873854 3329465 3504700 3933950 5406260 5747708 6658930 6757825 7184635 7867900 13317860 13515650 14369270 16647325 27031300 27301613 28738540 33294650 35923175 54603226 66589300 71846350 109206452 136508065 143692700 273016130 546032260 682540325 1365080650 2730161300