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6130020 = 22351329271
BaseRepresentation
bin10111011000100101100100
3102112102210210
4113120211210
53032130040
6335215420
7103050531
oct27304544
912472723
106130020
113507636
122077570
131368240
14b57d88
15811480
hex5d8964

6130020 has 96 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 1451520.

The previous prime is 6129973. The next prime is 6130021. The reversal of 6130020 is 200316.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 6129978 and 6130005.

It is not an unprimeable number, because it can be changed into a prime (6130021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22485 + ... + 22755.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 26130020 is an apocalyptic number.

6130020 is a gapful number since it is divisible by the number (60) 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 6130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

6130020 is an abundant number, since it is smaller than the sum of its proper divisors (13062300).

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

6130020 is a wasteful number, since it uses less digits than its factorization.

6130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 6130020 is about 2475.8877195867. The cubic root of 6130020 is about 183.0152574696.

Adding to 6130020 its reverse (200316), we get a palindrome (6330336).

The spelling of 6130020 in words is "six million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 271 290 348 377 390 435 542 580 754 780 813 870 1084 1131 1355 1508 1626 1740 1885 2262 2710 3252 3523 3770 4065 4524 5420 5655 7046 7540 7859 8130 10569 11310 14092 15718 16260 17615 21138 22620 23577 31436 35230 39295 42276 47154 52845 70460 78590 94308 102167 105690 117885 157180 204334 211380 235770 306501 408668 471540 510835 613002 1021670 1226004 1532505 2043340 3065010 6130020