Search a number
-
+
6960030 = 23571123131
BaseRepresentation
bin11010100011001110011110
3111002121100220
4122203032132
53240210110
6405102210
7113105430
oct32431636
914077326
106960030
113a241a0
1223b7966
131598c7c
14cd2650
15927370
hex6a339e

6960030 has 128 divisors (see below), whose sum is σ = 21897216. Its totient is φ = 1372800.

The previous prime is 6960017. The next prime is 6960049. The reversal of 6960030 is 300696.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53065 + ... + 53195.

It is an arithmetic number, because the mean of its divisors is an integer number (171072).

Almost surely, 26960030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948608).

6960030 is an abundant number, since it is smaller than the sum of its proper divisors (14937186).

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

6960030 is a wasteful number, since it uses less digits than its factorization.

6960030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 6960030 is about 2638.1868773838. The cubic root of 6960030 is about 190.9283285087.

The spelling of 6960030 in words is "six million, nine hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 131 138 154 161 165 210 230 231 253 262 322 330 345 385 393 462 483 506 655 690 759 770 786 805 917 966 1155 1265 1310 1441 1518 1610 1771 1834 1965 2310 2415 2530 2751 2882 3013 3542 3795 3930 4323 4585 4830 5313 5502 6026 7205 7590 8646 8855 9039 9170 10087 10626 13755 14410 15065 17710 18078 20174 21091 21615 26565 27510 30130 30261 33143 42182 43230 45195 50435 53130 60522 63273 66286 90390 99429 100870 105455 126546 151305 165715 198858 210910 232001 302610 316365 331430 464002 497145 632730 696003 994290 1160005 1392006 2320010 3480015 6960030