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4109274 = 23213171033
BaseRepresentation
bin1111101011001111011010
321201202212100
433223033122
52022444044
6224024230
746633251
oct17531732
97652770
104109274
1123573a4
121462076
13b0b530
1478d798
15562869
hex3eb3da

4109274 has 48 divisors (see below), whose sum is σ = 10162152. Its totient is φ = 1188864.

The previous prime is 4109251. The next prime is 4109279. The reversal of 4109274 is 4729014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4028049 + 81225 = 2007^2 + 285^2 .

It is a super-2 number, since 2×41092742 = 33772265614152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4109279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462 + ... + 4494.

Almost surely, 24109274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081076).

4109274 is an abundant number, since it is smaller than the sum of its proper divisors (6052878).

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

4109274 is a wasteful number, since it uses less digits than its factorization.

4109274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4109274 is about 2027.1344306681. The cubic root of 4109274 is about 160.1726521698.

It can be divided in two parts, 4 and 109274, that added together give a triangular number (109278 = T467).

The spelling of 4109274 in words is "four million, one hundred nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1033 1326 1989 2066 3099 3978 6198 9297 13429 17561 18594 26858 35122 40287 52683 80574 105366 120861 158049 228293 241722 316098 456586 684879 1369758 2054637 4109274