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6960330 = 234513661
BaseRepresentation
bin11010100011010011001010
3111002121210000
4122203103022
53240212310
6405103430
7113106336
oct32432312
914077700
106960330
113a24443
1223b7b76
131599150
14cd27c6
159274c0
hex6a34ca

6960330 has 80 divisors (see below), whose sum is σ = 20185704. Its totient is φ = 1710720.

The previous prime is 6960313. The next prime is 6960341. The reversal of 6960330 is 330696.

It can be written as a sum of positive squares in 4 ways, for example, as 5349969 + 1610361 = 2313^2 + 1269^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 6960294 and 6960303.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10200 + ... + 10860.

Almost surely, 26960330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092852).

6960330 is an abundant number, since it is smaller than the sum of its proper divisors (13225374).

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

6960330 is a wasteful number, since it uses less digits than its factorization.

6960330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 6960330 is about 2638.2437340018. The cubic root of 6960330 is about 190.9310716806.

The spelling of 6960330 in words is "six million, nine hundred sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 661 702 810 1053 1170 1322 1755 1983 2106 3305 3510 3966 5265 5949 6610 8593 9915 10530 11898 17186 17847 19830 25779 29745 35694 42965 51558 53541 59490 77337 85930 89235 107082 128895 154674 178470 232011 257790 267705 386685 464022 535410 696033 773370 1160055 1392066 2320110 3480165 6960330