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6187428 = 2234132113
BaseRepresentation
bin10111100110100110100100
3102122100120000
4113212212210
53040444203
6340341300
7103410102
oct27464644
912570500
106187428
113546785
1220a4830
131388400
14b70c72
158234a3
hex5e69a4

6187428 has 90 divisors (see below), whose sum is σ = 17670114. Its totient is φ = 1886976.

The previous prime is 6187427. The next prime is 6187451. The reversal of 6187428 is 8247816.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 5560164 = 792^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6187392 and 6187401.

It is not an unprimeable number, because it can be changed into a prime (6187427) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54700 + ... + 54812.

Almost surely, 26187428 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 6187428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835057).

6187428 is an abundant number, since it is smaller than the sum of its proper divisors (11482686).

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

6187428 is a wasteful number, since it uses less digits than its factorization.

6187428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 6187428 is about 2487.4541201799. The cubic root of 6187428 is about 183.5847994592.

The spelling of 6187428 in words is "six million, one hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 113 117 156 162 169 226 234 324 338 339 351 452 468 507 676 678 702 1014 1017 1053 1356 1404 1469 1521 2028 2034 2106 2938 3042 3051 4068 4212 4407 4563 5876 6084 6102 8814 9126 9153 12204 13221 13689 17628 18252 18306 19097 26442 27378 36612 38194 39663 52884 54756 57291 76388 79326 114582 118989 158652 171873 229164 237978 343746 475956 515619 687492 1031238 1546857 2062476 3093714 6187428