Search a number
-
+
1038042 = 23347409
BaseRepresentation
bin11111101011011011010
31221201221000
43331123122
5231204132
634125430
711552235
oct3753332
91851830
101038042
11649995
12420876
132a4635
141d041c
1515787c
hexfd6da

1038042 has 32 divisors (see below), whose sum is σ = 2361600. Its totient is φ = 337824.

The previous prime is 1038041. The next prime is 1038043. The reversal of 1038042 is 2408301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1038041) and next prime (1038043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1038041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (73800).

21038042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180800).

1038042 is an abundant number, since it is smaller than the sum of its proper divisors (1323558).

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

1038042 is a wasteful number, since it uses less digits than its factorization.

1038042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

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

The square root of 1038042 is about 1018.8434619705. The cubic root of 1038042 is about 101.2523181911.

The spelling of 1038042 in words is "one million, thirty-eight thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 409 423 818 846 1227 1269 2454 2538 3681 7362 11043 19223 22086 38446 57669 115338 173007 346014 519021 1038042