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6890130 = 2335132151
BaseRepresentation
bin11010010010001010010010
3110222001111000
4122102022102
53230441010
6403402430
7112364562
oct32221222
913861430
106890130
113986725
122383416
131573200
14cb4da2
159117c0
hex692292

6890130 has 96 divisors (see below), whose sum is σ = 20027520. Its totient is φ = 1684800.

The previous prime is 6890123. The next prime is 6890161. The reversal of 6890130 is 310986.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6890094 and 6890103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45555 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (208620).

Almost surely, 26890130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013760).

6890130 is an abundant number, since it is smaller than the sum of its proper divisors (13137390).

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

6890130 is a wasteful number, since it uses less digits than its factorization.

6890130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6890130 is about 2624.9057125924. The cubic root of 6890130 is about 190.2870085248.

The spelling of 6890130 in words is "six million, eight hundred ninety thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 151 169 195 234 270 302 338 351 390 453 507 585 702 755 845 906 1014 1170 1359 1510 1521 1690 1755 1963 2265 2535 2718 3042 3510 3926 4077 4530 4563 5070 5889 6795 7605 8154 9126 9815 11778 13590 15210 17667 19630 20385 22815 25519 29445 35334 40770 45630 51038 53001 58890 76557 88335 106002 127595 153114 176670 229671 255190 265005 382785 459342 530010 689013 765570 1148355 1378026 2296710 3445065 6890130