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4237420 = 22511217103
BaseRepresentation
bin10000001010100001101100
321222021122111
4100022201230
52041044140
6230453404
751005665
oct20124154
97867574
104237420
112434700
121504264
13b54965
147c436c
1558a7ea
hex40a86c

4237420 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 1436160.

The previous prime is 4237417. The next prime is 4237423. The reversal of 4237420 is 247324.

It is an interprime number because it is at equal distance from previous prime (4237417) and next prime (4237423).

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 = 4237391 and 4237400.

It is not an unprimeable number, because it can be changed into a prime (4237423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41089 + ... + 41191.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 24237420 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 4237420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

4237420 is an abundant number, since it is smaller than the sum of its proper divisors (6219572).

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

4237420 is a wasteful number, since it uses less digits than its factorization.

4237420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4237420 is about 2058.4994534855. The cubic root of 4237420 is about 161.8206112653.

The spelling of 4237420 in words is "four million, two hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 103 110 121 170 187 206 220 242 340 374 412 484 515 605 748 935 1030 1133 1210 1751 1870 2057 2060 2266 2420 3502 3740 4114 4532 5665 7004 8228 8755 10285 11330 12463 17510 19261 20570 22660 24926 35020 38522 41140 49852 62315 77044 96305 124630 192610 211871 249260 385220 423742 847484 1059355 2118710 4237420