Search a number
-
+
6206464 = 210111929
BaseRepresentation
bin10111101011010000000000
3102200022200001
4113223100000
53042101324
6341005344
7103516435
oct27532000
912608601
106206464
11355a010
1220b3854
131393c84
14b77b8c
15828e44
hex5eb400

6206464 has 88 divisors (see below), whose sum is σ = 14738400. Its totient is φ = 2580480.

The previous prime is 6206461. The next prime is 6206503. The reversal of 6206464 is 4646026.

6206464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6206461) 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, 214002 + ... + 214030.

Almost surely, 26206464 is an apocalyptic number.

6206464 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 6206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369200).

6206464 is an abundant number, since it is smaller than the sum of its proper divisors (8531936).

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

6206464 is a wasteful number, since it uses less digits than its factorization.

6206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 6206464 is about 2491.2775838914. The cubic root of 6206464 is about 183.7728766618.

It can be divided in two parts, 62064 and 64, that added together give a triangular number (62128 = T352).

The spelling of 6206464 in words is "six million, two hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 128 152 176 209 232 256 304 319 352 418 464 512 551 608 638 704 836 928 1024 1102 1216 1276 1408 1672 1856 2204 2432 2552 2816 3344 3712 4408 4864 5104 5632 6061 6688 7424 8816 9728 10208 11264 12122 13376 14848 17632 19456 20416 24244 26752 29696 35264 40832 48488 53504 70528 81664 96976 107008 141056 163328 193952 214016 282112 326656 387904 564224 775808 1551616 3103232 6206464