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4206020 = 2257132311
BaseRepresentation
bin10000000010110111000100
321220200120112
4100002313010
52034043040
6230052152
750515310
oct20026704
97820515
104206020
112413055
1214aa058
13b43590
147b6b40
15581365
hex402dc4

4206020 has 48 divisors (see below), whose sum is σ = 10875648. Its totient is φ = 1330560.

The previous prime is 4206019. The next prime is 4206023. The reversal of 4206020 is 206024.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4205986 and 4206004.

It is not an unprimeable number, because it can be changed into a prime (4206023) 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, 665 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (226576).

Almost surely, 24206020 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 4206020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437824).

4206020 is an abundant number, since it is smaller than the sum of its proper divisors (6669628).

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

4206020 is a wasteful number, since it uses less digits than its factorization.

4206020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4206020 is about 2050.8583568838. The cubic root of 4206020 is about 161.4199138371.

The spelling of 4206020 in words is "four million, two hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2311 4622 9244 11555 16177 23110 30043 32354 46220 60086 64708 80885 120172 150215 161770 210301 300430 323540 420602 600860 841204 1051505 2103010 4206020