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8068830 = 2357211499
BaseRepresentation
bin11110110001111011011110
3120011221100120
4132301323132
54031200310
6444535410
7125404200
oct36617336
916157316
108068830
114611260
122851566
131896873
141100770
15a95b70
hex7b1ede

8068830 has 96 divisors (see below), whose sum is σ = 24624000. Its totient is φ = 1673280.

The previous prime is 8068817. The next prime is 8068831. The reversal of 8068830 is 388608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8068791 and 8068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068831) 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, 15921 + ... + 16419.

It is an arithmetic number, because the mean of its divisors is an integer number (256500).

Almost surely, 28068830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312000).

8068830 is an abundant number, since it is smaller than the sum of its proper divisors (16555170).

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

8068830 is a wasteful number, since it uses less digits than its factorization.

8068830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8068830 is about 2840.5686050508. The cubic root of 8068830 is about 200.5719461621.

The spelling of 8068830 in words is "eight million, sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 499 539 735 770 998 1078 1155 1470 1497 1617 2310 2495 2695 2994 3234 3493 4990 5390 5489 6986 7485 8085 10479 10978 14970 16170 16467 17465 20958 24451 27445 32934 34930 38423 48902 52395 54890 73353 76846 82335 104790 115269 122255 146706 164670 192115 230538 244510 268961 366765 384230 537922 576345 733530 806883 1152690 1344805 1613766 2689610 4034415 8068830