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4103424 = 283213137
BaseRepresentation
bin1111101001110100000000
321201110211200
433221310000
52022302144
6223541200
746610223
oct17516400
97643750
104103424
112352a66
12145a800
13b08980
1478b5ba
15560c69
hex3e9d00

4103424 has 108 divisors (see below), whose sum is σ = 12834276. Its totient is φ = 1253376.

The previous prime is 4103401. The next prime is 4103431. The reversal of 4103424 is 4243014.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 2663424 = 1200^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4103397 and 4103406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29884 + ... + 30020.

Almost surely, 24103424 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 4103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417138).

4103424 is an abundant number, since it is smaller than the sum of its proper divisors (8730852).

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

4103424 is a wasteful number, since it uses less digits than its factorization.

4103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4103424 is about 2025.6909932169. The cubic root of 4103424 is about 160.0966083226.

Adding to 4103424 its reverse (4243014), we get a palindrome (8346438).

The spelling of 4103424 in words is "four million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 137 144 156 192 208 234 256 274 288 312 384 411 416 468 548 576 624 768 822 832 936 1096 1152 1233 1248 1644 1664 1781 1872 2192 2304 2466 2496 3288 3328 3562 3744 4384 4932 4992 5343 6576 7124 7488 8768 9864 9984 10686 13152 14248 14976 16029 17536 19728 21372 26304 28496 29952 32058 35072 39456 42744 52608 56992 64116 78912 85488 105216 113984 128232 157824 170976 227968 256464 315648 341952 455936 512928 683904 1025856 1367808 2051712 4103424