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4124016 = 2432132203
BaseRepresentation
bin1111101110110101110000
321202112002100
433232311300
52023432031
6224220400
750024241
oct17566560
97675070
104124016
112367486
12146a700
13b15160
14794cc8
15566de6
hex3eed70

4124016 has 60 divisors (see below), whose sum is σ = 12434968. Its totient is φ = 1268352.

The previous prime is 4124009. The next prime is 4124069. The reversal of 4124016 is 6104214.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4124016.

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, 771 + ... + 2973.

Almost surely, 24124016 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 4124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217484).

4124016 is an abundant number, since it is smaller than the sum of its proper divisors (8310952).

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

4124016 is a wasteful number, since it uses less digits than its factorization.

4124016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4124016 is about 2030.7673426565. The cubic root of 4124016 is about 160.3639631067.

The spelling of 4124016 in words is "four million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2203 4406 6609 8812 13218 17624 19827 26436 28639 35248 39654 52872 57278 79308 85917 105744 114556 158616 171834 229112 257751 317232 343668 458224 515502 687336 1031004 1374672 2062008 4124016