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1038144 = 2635407
BaseRepresentation
bin11111101011101000000
31221202001210
43331131000
5231210034
634130120
711552442
oct3753500
91852053
101038144
11649a78
12420940
132a46b3
141d0492
151578e9
hexfd740

1038144 has 28 divisors (see below), whose sum is σ = 2747264. Its totient is φ = 345984.

The previous prime is 1038143. The next prime is 1038157. The reversal of 1038144 is 4418301.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1038144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038143) 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 3 ways as a sum of consecutive naturals, for example, 2512 + ... + 2895.

21038144 is an apocalyptic number.

It is an amenable number.

1038144 is an abundant number, since it is smaller than the sum of its proper divisors (1709120).

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

1038144 is an equidigital number, since it uses as much as digits as its factorization.

1038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1038144 is about 1018.8935174983. The cubic root of 1038144 is about 101.2556344982.

The spelling of 1038144 in words is "one million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 5407 10814 16221 21628 32442 43256 64884 86512 129768 173024 259536 346048 519072 1038144