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6493136 = 2413193153
BaseRepresentation
bin11000110001001111010000
3110012212220112
4120301033100
53130240021
6351100452
7106122266
oct30611720
913185815
106493136
113735431
122211728
1314645c0
14c10436
15883d5b
hex6313d0

6493136 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2695680.

The previous prime is 6493087. The next prime is 6493139. The reversal of 6493136 is 6313946.

It is a happy number.

It is a super-2 number, since 2×64931362 = 84321630228992, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493139) 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, 122486 + ... + 122538.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 26493136 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 6493136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

6493136 is an abundant number, since it is smaller than the sum of its proper divisors (8505904).

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

6493136 is a wasteful number, since it uses less digits than its factorization.

6493136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 6493136 is about 2548.1632600758. The cubic root of 6493136 is about 186.5598425073.

The spelling of 6493136 in words is "six million, four hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 53 62 76 104 106 124 152 208 212 247 248 304 403 424 494 496 589 689 806 848 988 1007 1178 1378 1612 1643 1976 2014 2356 2756 3224 3286 3952 4028 4712 5512 6448 6572 7657 8056 9424 11024 13091 13144 15314 16112 21359 26182 26288 30628 31217 42718 52364 61256 62434 85436 104728 122512 124868 170872 209456 249736 341744 405821 499472 811642 1623284 3246568 6493136