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4128420 = 223583829
BaseRepresentation
bin1111101111111010100100
321202202010110
433233322210
52024102140
6224253020
750043132
oct17577244
97682113
104128420
11236a81a
121471170
13b1716a
14796752
15568380
hex3efea4

4128420 has 48 divisors (see below), whose sum is σ = 11712960. Its totient is φ = 1086336.

The previous prime is 4128409. The next prime is 4128427. The reversal of 4128420 is 248214.

It is not an unprimeable number, because it can be changed into a prime (4128427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4566 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (244020).

Almost surely, 24128420 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 4128420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856480).

4128420 is an abundant number, since it is smaller than the sum of its proper divisors (7584540).

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

4128420 is a wasteful number, since it uses less digits than its factorization.

4128420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4128420 is about 2031.8513725172. The cubic root of 4128420 is about 160.4210265489.

The spelling of 4128420 in words is "four million, one hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 829 830 996 1245 1658 1660 2487 2490 3316 4145 4974 4980 8290 9948 12435 16580 24870 49740 68807 137614 206421 275228 344035 412842 688070 825684 1032105 1376140 2064210 4128420