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6973830 = 2335231123
BaseRepresentation
bin11010100110100110000110
3111010022022000
4122212212012
53241130310
6405250130
7113163603
oct32464606
914108260
106973830
113a335a6
122403946
1315a2336
14cd76aa
1592b4c0
hex6a6986

6973830 has 64 divisors (see below), whose sum is σ = 19422720. Its totient is φ = 1777248.

The previous prime is 6973819. The next prime is 6973831. The reversal of 6973830 is 383796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6973831) 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, 5649 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (303480).

Almost surely, 26973830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6973830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711360).

6973830 is an abundant number, since it is smaller than the sum of its proper divisors (12448890).

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

6973830 is a wasteful number, since it uses less digits than its factorization.

6973830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6973830 is about 2640.8010148438. The cubic root of 6973830 is about 191.0544329201.

The spelling of 6973830 in words is "six million, nine hundred seventy-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1123 1242 2070 2246 3105 3369 5615 6210 6738 10107 11230 16845 20214 25829 30321 33690 50535 51658 60642 77487 101070 129145 151605 154974 232461 258290 303210 387435 464922 697383 774870 1162305 1394766 2324610 3486915 6973830