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6940544 = 27134397
BaseRepresentation
bin11010011110011110000000
3111001121122012
4122132132000
53234044134
6404432052
7112664552
oct32363600
914047565
106940544
113a10596
1223a8628
131590140
14cc94d2
159216ce
hex69e780

6940544 has 64 divisors (see below), whose sum is σ = 15393840. Its totient is φ = 3096576.

The previous prime is 6940513. The next prime is 6940561. The reversal of 6940544 is 4450496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6940544.

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 7 ways as a sum of consecutive naturals, for example, 71504 + ... + 71600.

Almost surely, 26940544 is an apocalyptic number.

6940544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696920).

6940544 is an abundant number, since it is smaller than the sum of its proper divisors (8453296).

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

6940544 is a wasteful number, since it uses less digits than its factorization.

6940544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 6940544 is about 2634.4912222287. The cubic root of 6940544 is about 190.7499812483.

The spelling of 6940544 in words is "six million, nine hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 97 104 128 172 194 208 344 388 416 559 688 776 832 1118 1261 1376 1552 1664 2236 2522 2752 3104 4171 4472 5044 5504 6208 8342 8944 10088 12416 16684 17888 20176 33368 35776 40352 54223 66736 71552 80704 108446 133472 161408 216892 266944 433784 533888 867568 1735136 3470272 6940544