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4138220 = 225206911
BaseRepresentation
bin1111110010010011101100
321210020120102
433302103230
52024410340
6224410232
750113532
oct17622354
97706512
104138220
112377119
121476978
13b1b768
1479a152
1556b215
hex3f24ec

4138220 has 12 divisors (see below), whose sum is σ = 8690304. Its totient is φ = 1655280.

The previous prime is 4138217. The next prime is 4138223. The reversal of 4138220 is 228314.

4138220 = T341 + T342 + ... + T400.

It is an interprime number because it is at equal distance from previous prime (4138217) and next prime (4138223).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 206911 = 4138220 / (4 + 1 + 3 + 8 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4138192 and 4138201.

It is not an unprimeable number, because it can be changed into a prime (4138223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 103436 + ... + 103475.

It is an arithmetic number, because the mean of its divisors is an integer number (724192).

Almost surely, 24138220 is an apocalyptic number.

It is an amenable number.

4138220 is an abundant number, since it is smaller than the sum of its proper divisors (4552084).

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

4138220 is a wasteful number, since it uses less digits than its factorization.

4138220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206920 (or 206918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4138220 is about 2034.2615367745. The cubic root of 4138220 is about 160.5478614908.

The spelling of 4138220 in words is "four million, one hundred thirty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 206911 413822 827644 1034555 2069110 4138220