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6997900 = 2252713769
BaseRepresentation
bin11010101100011110001100
3111011112022111
4122230132030
53242413100
6405553404
7113324020
oct32543614
914145274
106997900
113a4a698
122415864
1315b0290
14d02380
159336ba
hex6ac78c

6997900 has 72 divisors (see below), whose sum is σ = 18714080. Its totient is φ = 2211840.

The previous prime is 6997891. The next prime is 6997901. The reversal of 6997900 is 97996.

6997900 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 (40) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6997901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8716 + ... + 9484.

Almost surely, 26997900 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 6997900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357040).

6997900 is an abundant number, since it is smaller than the sum of its proper divisors (11716180).

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

6997900 is a wasteful number, since it uses less digits than its factorization.

6997900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 6997900 is about 2645.3544185988. The cubic root of 6997900 is about 191.2739870522.

It can be divided in two parts, 69 and 97900, that added together give a square (97969 = 3132).

The spelling of 6997900 in words is "six million, nine hundred ninety-seven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 769 910 1300 1538 1820 2275 3076 3845 4550 5383 7690 9100 9997 10766 15380 19225 19994 21532 26915 38450 39988 49985 53830 69979 76900 99970 107660 134575 139958 199940 249925 269150 279916 349895 499850 538300 699790 999700 1399580 1749475 3498950 6997900