Search a number
-
+
6746136 = 2333771107
BaseRepresentation
bin11001101111000000011000
3110200201221220
4121233000120
53211334021
6400332040
7111225015
oct31570030
913621856
106746136
113898521
122314020
1315227c7
14c7870c
158d3cc6
hex66f018

6746136 has 64 divisors (see below), whose sum is σ = 17729280. Its totient is φ = 2136960.

The previous prime is 6746101. The next prime is 6746137. The reversal of 6746136 is 6316476.

Its product of digits (18144) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 6746097 and 6746106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746137) 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, 62995 + ... + 63101.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 26746136 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 6746136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864640).

6746136 is an abundant number, since it is smaller than the sum of its proper divisors (10983144).

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

6746136 is a wasteful number, since it uses less digits than its factorization.

6746136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 6746136 is about 2597.3324777548. The cubic root of 6746136 is about 188.9520888607.

The spelling of 6746136 in words is "six million, seven hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 107 111 142 148 213 214 222 284 296 321 426 428 444 568 642 852 856 888 1284 1704 2568 2627 3959 5254 7597 7881 7918 10508 11877 15194 15762 15836 21016 22791 23754 30388 31524 31672 45582 47508 60776 63048 91164 95016 182328 281089 562178 843267 1124356 1686534 2248712 3373068 6746136