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6689024 = 28172953
BaseRepresentation
bin11001100001000100000000
3110120211121122
4121201010000
53203022044
6355211412
7110566346
oct31410400
913524548
106689024
113859621
1222a6b68
131502804
14c61996
158c1dee
hex661100

6689024 has 72 divisors (see below), whose sum is σ = 14900760. Its totient is φ = 2981888.

The previous prime is 6688999. The next prime is 6689029. The reversal of 6689024 is 4209866.

It can be written as a sum of positive squares in 4 ways, for example, as 2560000 + 4129024 = 1600^2 + 2032^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (6689029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126182 + ... + 126234.

It is an arithmetic number, because the mean of its divisors is an integer number (206955).

Almost surely, 26689024 is an apocalyptic number.

6689024 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 6689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450380).

6689024 is an abundant number, since it is smaller than the sum of its proper divisors (8211736).

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

6689024 is a wasteful number, since it uses less digits than its factorization.

6689024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6689024 is about 2586.3147526935. The cubic root of 6689024 is about 188.4173615866.

The spelling of 6689024 in words is "six million, six hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 53 58 64 68 106 116 128 136 212 232 256 272 424 464 493 544 848 901 928 986 1088 1537 1696 1802 1856 1972 2176 3074 3392 3604 3712 3944 4352 6148 6784 7208 7424 7888 12296 13568 14416 15776 24592 26129 28832 31552 49184 52258 57664 63104 98368 104516 115328 126208 196736 209032 230656 393472 418064 836128 1672256 3344512 6689024