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4146220 = 2251337431
BaseRepresentation
bin1111110100010000101100
321210122112201
433310100230
52030134340
6224511244
750146051
oct17642054
97718481
104146220
112382131
12147b524
13b222b0
1479d028
1556d79a
hex3f442c

4146220 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1486080.

The previous prime is 4146211. The next prime is 4146221. The reversal of 4146220 is 226414.

4146220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41462202 = 34382280576800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4146221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405 + ... + 9835.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 24146220 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 4146220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

4146220 is an abundant number, since it is smaller than the sum of its proper divisors (5506388).

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

4146220 is a wasteful number, since it uses less digits than its factorization.

4146220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4146220 is about 2036.2269028770. The cubic root of 4146220 is about 160.6512518474.

The spelling of 4146220 in words is "four million, one hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 431 481 740 862 962 1724 1924 2155 2405 4310 4810 5603 8620 9620 11206 15947 22412 28015 31894 56030 63788 79735 112060 159470 207311 318940 414622 829244 1036555 2073110 4146220