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1138293 = 34132347
BaseRepresentation
bin100010101111001110101
32010211110000
410111321311
5242411133
640221513
712450432
oct4257165
92124400
101138293
11708242
1246a899
1330b160
14218b89
15177413
hex115e75

1138293 has 40 divisors (see below), whose sum is σ = 1951488. Its totient is φ = 655776.

The previous prime is 1138273. The next prime is 1138363. The reversal of 1138293 is 3928311.

It is not a de Polignac number, because 1138293 - 29 = 1137781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

1138293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24196 + ... + 24242.

21138293 is an apocalyptic number.

1138293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1138293 is a deficient number, since it is larger than the sum of its proper divisors (813195).

1138293 is a wasteful number, since it uses less digits than its factorization.

1138293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

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

The square root of 1138293 is about 1066.9081497486. The cubic root of 1138293 is about 104.4122260751.

It can be divided in two parts, 1138 and 293, that added together give a triangular number (1431 = T53).

The spelling of 1138293 in words is "one million, one hundred thirty-eight thousand, two hundred ninety-three".

Divisors: 1 3 9 13 23 27 39 47 69 81 117 141 207 299 351 423 611 621 897 1053 1081 1269 1833 1863 2691 3243 3807 5499 8073 9729 14053 16497 24219 29187 42159 49491 87561 126477 379431 1138293