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1382208 = 26323313
BaseRepresentation
bin101010001011101000000
32121020000220
411101131000
5323212313
645343040
714514522
oct5213500
92536026
101382208
11864523
12567a80
13395199
1427da12
151c4823
hex151740

1382208 has 56 divisors (see below), whose sum is σ = 3828288. Its totient is φ = 439296.

The previous prime is 1382207. The next prime is 1382221. The reversal of 1382208 is 8022831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4260 + ... + 4572.

21382208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914144).

1382208 is an abundant number, since it is smaller than the sum of its proper divisors (2446080).

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

1382208 is a wasteful number, since it uses less digits than its factorization.

1382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1382208 is about 1175.6734240426. The cubic root of 1382208 is about 111.3929744470.

Adding to 1382208 its product of nonzero digits (768), we get a square (1382976 = 11762).

It can be divided in two parts, 138 and 2208, that multiplied together give a square (304704 = 5522).

The spelling of 1382208 in words is "one million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 313 368 552 626 736 939 1104 1252 1472 1878 2208 2504 3756 4416 5008 7199 7512 10016 14398 15024 20032 21597 28796 30048 43194 57592 60096 86388 115184 172776 230368 345552 460736 691104 1382208