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6961940 = 225348097
BaseRepresentation
bin11010100011101100010100
3111002200222122
4122203230110
53240240230
6405115112
7113114126
oct32435424
914080878
106961940
113a25677
1223b8a98
131599abb
14cd3216
15927be5
hex6a3b14

6961940 has 12 divisors (see below), whose sum is σ = 14620116. Its totient is φ = 2784768.

The previous prime is 6961931. The next prime is 6961951. The reversal of 6961940 is 491696.

It can be written as a sum of positive squares in 2 ways, for example, as 3857296 + 3104644 = 1964^2 + 1762^2 .

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 6961940.

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 3 ways as a sum of consecutive naturals, for example, 174029 + ... + 174068.

It is an arithmetic number, because the mean of its divisors is an integer number (1218343).

Almost surely, 26961940 is an apocalyptic number.

It is an amenable number.

6961940 is an abundant number, since it is smaller than the sum of its proper divisors (7658176).

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

6961940 is a wasteful number, since it uses less digits than its factorization.

6961940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348106 (or 348104 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 6961940 is about 2638.5488435881. The cubic root of 6961940 is about 190.9457920232.

The spelling of 6961940 in words is "six million, nine hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 348097 696194 1392388 1740485 3480970 6961940