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1038035090 = 25110993601
BaseRepresentation
bin111101110111110…
…010100010010010
32200100020122110002
4331313302202102
54111214110330
6251000410002
734503103241
oct7567624222
92610218402
101038035090
11492a42144
1224b776902
13137096561
149bc0c958
15611e5e45
hex3ddf2892

1038035090 has 16 divisors (see below), whose sum is σ = 1870167960. Its totient is φ = 414835200.

The previous prime is 1038035081. The next prime is 1038035137. The reversal of 1038035090 is 905308301.

It can be written as a sum of positive squares in 4 ways, for example, as 818017201 + 220017889 = 28601^2 + 14833^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35711 + ... + 57890.

Almost surely, 21038035090 is an apocalyptic number.

1038035090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1038035090 is a deficient number, since it is larger than the sum of its proper divisors (832132870).

1038035090 is a wasteful number, since it uses less digits than its factorization.

1038035090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94717.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1038035090 is about 32218.5519538045. The cubic root of 1038035090 is about 1012.5209351969.

It can be divided in two parts, 103 and 8035090, that multiplied together give a triangular number (827614270 = T40684).

The spelling of 1038035090 in words is "one billion, thirty-eight million, thirty-five thousand, ninety".

Divisors: 1 2 5 10 1109 2218 5545 11090 93601 187202 468005 936010 103803509 207607018 519017545 1038035090