Search a number
-
+
6530496 = 263743113
BaseRepresentation
bin11000111010010111000000
3110021210011020
4120322113000
53132433441
6351545440
7106336230
oct30722700
913253136
106530496
113760505
12222b280
1314785cb
14c1dcc0
1588ee66
hex63a5c0

6530496 has 112 divisors (see below), whose sum is σ = 20385024. Its totient is φ = 1806336.

The previous prime is 6530483. The next prime is 6530519. The reversal of 6530496 is 6940356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57736 + ... + 57848.

Almost surely, 26530496 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 6530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192512).

6530496 is an abundant number, since it is smaller than the sum of its proper divisors (13854528).

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

6530496 is a wasteful number, since it uses less digits than its factorization.

6530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 6530496 is about 2555.4835158928. The cubic root of 6530496 is about 186.9169658141.

The spelling of 6530496 in words is "six million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 113 129 168 172 192 224 226 258 301 336 339 344 448 452 516 602 672 678 688 791 903 904 1032 1204 1344 1356 1376 1582 1806 1808 2064 2373 2408 2712 2752 3164 3612 3616 4128 4746 4816 4859 5424 6328 7224 7232 8256 9492 9632 9718 10848 12656 14448 14577 18984 19264 19436 21696 25312 28896 29154 34013 37968 38872 50624 57792 58308 68026 75936 77744 102039 116616 136052 151872 155488 204078 233232 272104 310976 408156 466464 544208 816312 932928 1088416 1632624 2176832 3265248 6530496