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6840630 = 2325172263
BaseRepresentation
bin11010000110000100110110
3110212112120200
4122012010312
53222400010
6402341330
7112100346
oct32060466
913775520
106840630
113952515
12235a846
131556814
14ca0d26
15901cc0
hex686136

6840630 has 72 divisors (see below), whose sum is σ = 18965232. Its totient is φ = 1710336.

The previous prime is 6840619. The next prime is 6840643. The reversal of 6840630 is 360486.

It is a junction number, because it is equal to n+sod(n) for n = 6840594 and 6840603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25879 + ... + 26141.

It is an arithmetic number, because the mean of its divisors is an integer number (263406).

Almost surely, 26840630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482616).

6840630 is an abundant number, since it is smaller than the sum of its proper divisors (12124602).

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

6840630 is a wasteful number, since it uses less digits than its factorization.

6840630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6840630 is about 2615.4598066114. The cubic root of 6840630 is about 189.8302269237.

The spelling of 6840630 in words is "six million, eight hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 263 289 306 510 526 578 765 789 867 1315 1445 1530 1578 1734 2367 2601 2630 2890 3945 4335 4471 4734 5202 7890 8670 8942 11835 13005 13413 22355 23670 26010 26826 40239 44710 67065 76007 80478 134130 152014 201195 228021 380035 402390 456042 684063 760070 1140105 1368126 2280210 3420315 6840630