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1138392 = 233297163
BaseRepresentation
bin100010101111011011000
32010211120200
410111323120
5242412032
640222200
712450633
oct4257330
92124520
101138392
11708322
1246a960
1330b208
14218c1a
1517747c
hex115ed8

1138392 has 48 divisors (see below), whose sum is σ = 3134040. Its totient is φ = 373248.

The previous prime is 1138391. The next prime is 1138393. The reversal of 1138392 is 2938311.

It is an interprime number because it is at equal distance from previous prime (1138391) and next prime (1138393).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138391) 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 11 ways as a sum of consecutive naturals, for example, 6903 + ... + 7065.

21138392 is an apocalyptic number.

1138392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567020).

1138392 is an abundant number, since it is smaller than the sum of its proper divisors (1995648).

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

1138392 is a wasteful number, since it uses less digits than its factorization.

1138392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1138392 is about 1066.9545444863. The cubic root of 1138392 is about 104.4152529791.

The spelling of 1138392 in words is "one million, one hundred thirty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 163 194 291 326 388 489 582 652 776 873 978 1164 1304 1467 1746 1956 2328 2934 3492 3912 5868 6984 11736 15811 31622 47433 63244 94866 126488 142299 189732 284598 379464 569196 1138392