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4217020 = 2251779157
BaseRepresentation
bin10000000101100010111100
321221020122221
4100011202330
52034421040
6230215124
750562343
oct20054274
97836587
104217020
112420345
1214b44a4
13b485a2
147bab5a
1558474a
hex4058bc

4217020 has 48 divisors (see below), whose sum is σ = 9555840. Its totient is φ = 1557504.

The previous prime is 4217011. The next prime is 4217029. The reversal of 4217020 is 207124.

It is an interprime number because it is at equal distance from previous prime (4217011) and next prime (4217029).

It is a junction number, because it is equal to n+sod(n) for n = 4216985 and 4217003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217029) 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, 26782 + ... + 26938.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 24217020 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 4217020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920).

4217020 is an abundant number, since it is smaller than the sum of its proper divisors (5338820).

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

4217020 is a wasteful number, since it uses less digits than its factorization.

4217020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4217020 is about 2053.5384096724. The cubic root of 4217020 is about 161.5605117873.

The spelling of 4217020 in words is "four million, two hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 157 158 170 314 316 340 395 628 785 790 1343 1570 1580 2669 2686 3140 5338 5372 6715 10676 12403 13345 13430 24806 26690 26860 49612 53380 62015 124030 210851 248060 421702 843404 1054255 2108510 4217020