Search a number
-
+
6997700 = 22521929127
BaseRepresentation
bin11010101100011011000100
3111011112001002
4122230123010
53242411300
6405552432
7113323313
oct32543304
914145032
106997700
113a4a526
122415718
1315b0168
14d0227a
159335d5
hex6ac6c4

6997700 has 72 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 2540160.

The previous prime is 6997687. The next prime is 6997733. The reversal of 6997700 is 77996.

6997700 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) 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 (38).

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 23 ways as a sum of consecutive naturals, for example, 55037 + ... + 55163.

Almost surely, 26997700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6997700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

6997700 is an abundant number, since it is smaller than the sum of its proper divisors (9667900).

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

6997700 is a wasteful number, since it uses less digits than its factorization.

6997700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 6997700 is about 2645.3166162106. The cubic root of 6997700 is about 191.2721648311.

The spelling of 6997700 in words is "six million, nine hundred ninety-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 127 145 190 254 290 380 475 508 551 580 635 725 950 1102 1270 1450 1900 2204 2413 2540 2755 2900 3175 3683 4826 5510 6350 7366 9652 11020 12065 12700 13775 14732 18415 24130 27550 36830 48260 55100 60325 69977 73660 92075 120650 139954 184150 241300 279908 349885 368300 699770 1399540 1749425 3498850 6997700