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6974640 = 243353229
BaseRepresentation
bin11010100110110010110000
3111010100102000
4122212302300
53241142030
6405254000
7113166141
oct32466260
914110360
106974640
113a34172
122404300
1315a280a
14cd7ac8
1592b860
hex6a6cb0

6974640 has 80 divisors (see below), whose sum is σ = 24031200. Its totient is φ = 1859328.

The previous prime is 6974629. The next prime is 6974647. The reversal of 6974640 is 464796.

6974640 is a `hidden beast` number, since 6 + 9 + 7 + 4 + 640 = 666.

6974640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6974595 and 6974604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6974647) 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 15 ways as a sum of consecutive naturals, for example, 546 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (300390).

Almost surely, 26974640 is an apocalyptic number.

6974640 is a gapful number since it is divisible by the number (60) 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 6974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015600).

6974640 is an abundant number, since it is smaller than the sum of its proper divisors (17056560).

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

6974640 is a wasteful number, since it uses less digits than its factorization.

6974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6974640 is about 2640.9543729493. The cubic root of 6974640 is about 191.0618295300.

The spelling of 6974640 in words is "six million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3229 6458 9687 12916 16145 19374 25832 29061 32290 38748 48435 51664 58122 64580 77496 87183 96870 116244 129160 145305 154992 174366 193740 232488 258320 290610 348732 387480 435915 464976 581220 697464 774960 871830 1162440 1394928 1743660 2324880 3487320 6974640