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4158220 = 2251141461
BaseRepresentation
bin1111110111001100001100
321211021000011
433313030030
52031030340
6225043004
750226043
oct17671414
97737004
104158220
112390150
121486464
13b278b1
147a355a
155720ea
hex3f730c

4158220 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 1472000.

The previous prime is 4158211. The next prime is 4158233. The reversal of 4158220 is 228514.

4158220 = T864 + T865 + ... + T874.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4158191 and 4158200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8790 + ... + 9250.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 24158220 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 4158220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

4158220 is an abundant number, since it is smaller than the sum of its proper divisors (5621396).

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

4158220 is a wasteful number, since it uses less digits than its factorization.

4158220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4158220 is about 2039.1714003487. The cubic root of 4158220 is about 160.8060883151.

The spelling of 4158220 in words is "four million, one hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 461 820 902 922 1804 1844 2255 2305 4510 4610 5071 9020 9220 10142 18901 20284 25355 37802 50710 75604 94505 101420 189010 207911 378020 415822 831644 1039555 2079110 4158220