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6897072 = 2437131579
BaseRepresentation
bin11010010011110110110000
3110222102000010
4122103312300
53231201242
6403454520
7112424040
oct32236660
913872003
106897072
113990966
122387440
131576410
14cb7720
1591389c
hex693db0

6897072 has 80 divisors (see below), whose sum is σ = 21943040. Its totient is φ = 1817856.

The previous prime is 6896999. The next prime is 6897073. The reversal of 6897072 is 2707986.

6897072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6897072.

It is not an unprimeable number, because it can be changed into a prime (6897073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (274288).

Almost surely, 26897072 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 6897072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971520).

6897072 is an abundant number, since it is smaller than the sum of its proper divisors (15045968).

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

6897072 is a wasteful number, since it uses less digits than its factorization.

6897072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6897072 is about 2626.2277128992. The cubic root of 6897072 is about 190.3508935808.

The spelling of 6897072 in words is "six million, eight hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 1579 2184 3158 4368 4737 6316 9474 11053 12632 18948 20527 22106 25264 33159 37896 41054 44212 61581 66318 75792 82108 88424 123162 132636 143689 164216 176848 246324 265272 287378 328432 431067 492648 530544 574756 862134 985296 1149512 1724268 2299024 3448536 6897072