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1138005 = 32511319
BaseRepresentation
bin100010101110101010101
32010211001100
410111311111
5242404010
640220313
712446541
oct4256525
92124040
101138005
11708000
1246a699
1330ac9b
14218a21
151772c0
hex115d55

1138005 has 48 divisors (see below), whose sum is σ = 2283840. Its totient is φ = 522720.

The previous prime is 1137991. The next prime is 1138019. The reversal of 1138005 is 5008311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1137991) and next prime (1138019).

It is not a de Polignac number, because 1138005 - 25 = 1137973 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59886 + ... + 59904.

It is an arithmetic number, because the mean of its divisors is an integer number (47580).

21138005 is an apocalyptic number.

1138005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1138005 is an abundant number, since it is smaller than the sum of its proper divisors (1145835).

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

1138005 is a wasteful number, since it uses less digits than its factorization.

1138005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1138005 is about 1066.7731717661. The cubic root of 1138005 is about 104.4034195383.

It can be divided in two parts, 113 and 8005, that added together give a palindrome (8118).

The spelling of 1138005 in words is "one million, one hundred thirty-eight thousand, five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 121 165 171 209 285 363 495 605 627 855 1045 1089 1331 1815 1881 2299 3135 3993 5445 6655 6897 9405 11495 11979 19965 20691 25289 34485 59895 75867 103455 126445 227601 379335 1138005