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4200138 = 232233341
BaseRepresentation
bin10000000001011011001010
321220101111200
4100001123022
52033401023
6230005030
750462205
oct20013312
97811450
104200138
112409698
1214a6776
13b409b7
147b493c
1557e743
hex4016ca

4200138 has 12 divisors (see below), whose sum is σ = 9100338. Its totient is φ = 1400040.

The previous prime is 4200137. The next prime is 4200143. The reversal of 4200138 is 8310024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3448449 + 751689 = 1857^2 + 867^2 .

It is a super-4 number, since 4×42001384 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 233341 = 4200138 / (4 + 2 + 0 + 0 + 1 + 3 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 4200138.

It is not an unprimeable number, because it can be changed into a prime (4200137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116653 + ... + 116688.

Almost surely, 24200138 is an apocalyptic number.

4200138 is an abundant number, since it is smaller than the sum of its proper divisors (4900200).

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

4200138 is a wasteful number, since it uses less digits than its factorization.

4200138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233349 (or 233346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4200138 is about 2049.4238214679. The cubic root of 4200138 is about 161.3446316716.

The spelling of 4200138 in words is "four million, two hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 233341 466682 700023 1400046 2100069 4200138