Search a number
-
+
6105148 = 227377183
BaseRepresentation
bin10111010010100000111100
3102111011200121
4113102200330
53030331043
6334504324
7102615160
oct27224074
912434617
106105148
11349a985
1220650a4
131359b1a
14b4cca0
15808ded
hex5d283c

6105148 has 48 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 2479680.

The previous prime is 6105101. The next prime is 6105149. The reversal of 6105148 is 8415016.

6105148 = T752 + T753 + ... + T772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73515 + ... + 73597.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 26105148 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 6105148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

6105148 is an abundant number, since it is smaller than the sum of its proper divisors (6764996).

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

6105148 is a wasteful number, since it uses less digits than its factorization.

6105148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 6105148 is about 2470.8597693920. The cubic root of 6105148 is about 182.7673993451.

The spelling of 6105148 in words is "six million, one hundred five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 71 74 83 142 148 166 259 284 332 497 518 581 994 1036 1162 1988 2324 2627 3071 5254 5893 6142 10508 11786 12284 18389 21497 23572 36778 41251 42994 73556 82502 85988 165004 218041 436082 872164 1526287 3052574 6105148