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6130540 = 22513171973
BaseRepresentation
bin10111011000101101101100
3102112110112001
4113120231230
53032134130
6335222044
7103052203
oct27305554
912473461
106130540
113507a69
122077924
131368550
14b5823a
158116ca
hex5d8b6c

6130540 has 96 divisors (see below), whose sum is σ = 15664320. Its totient is φ = 1990656.

The previous prime is 6130517. The next prime is 6130541. The reversal of 6130540 is 450316.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130541) 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 31 ways as a sum of consecutive naturals, for example, 83944 + ... + 84016.

It is an arithmetic number, because the mean of its divisors is an integer number (163170).

Almost surely, 26130540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832160).

6130540 is an abundant number, since it is smaller than the sum of its proper divisors (9533780).

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

6130540 is a wasteful number, since it uses less digits than its factorization.

6130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 6130540 is about 2475.9927301993. The cubic root of 6130540 is about 183.0204322892.

Adding to 6130540 its reverse (450316), we get a palindrome (6580856).

It can be divided in two parts, 6130 and 540, that added together give a triangular number (6670 = T115).

The spelling of 6130540 in words is "six million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 73 76 85 95 130 146 170 190 221 247 260 292 323 340 365 380 442 494 646 730 884 949 988 1105 1235 1241 1292 1387 1460 1615 1898 2210 2470 2482 2774 3230 3796 4199 4420 4745 4940 4964 5548 6205 6460 6935 8398 9490 12410 13870 16133 16796 18031 18980 20995 23579 24820 27740 32266 36062 41990 47158 64532 72124 80665 83980 90155 94316 117895 161330 180310 235790 306527 322660 360620 471580 613054 1226108 1532635 3065270 6130540