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1382172 = 2231137283
BaseRepresentation
bin101010001011100011100
32121012222120
411101130130
5323212142
645342540
714514441
oct5213434
92535876
101382172
118644a0
12567a50
1339516c
1427d9c8
151c47ec
hex15171c

1382172 has 48 divisors (see below), whose sum is σ = 3626112. Its totient is φ = 406080.

The previous prime is 1382167. The next prime is 1382177. The reversal of 1382172 is 2712831.

It is an interprime number because it is at equal distance from previous prime (1382167) and next prime (1382177).

It is a super-3 number, since 3×13821723 = 7921501834333057344, which contains 333 as substring.

Its product of digits (672) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (75544).

21382172 is an apocalyptic number.

1382172 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 1382172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813056).

1382172 is an abundant number, since it is smaller than the sum of its proper divisors (2243940).

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

1382172 is a wasteful number, since it uses less digits than its factorization.

1382172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1382172 is about 1175.6581135687. The cubic root of 1382172 is about 111.3920073514.

The spelling of 1382172 in words is "one million, three hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 283 407 444 566 814 849 1132 1221 1628 1698 2442 3113 3396 4884 6226 9339 10471 12452 18678 20942 31413 37356 41884 62826 115181 125652 230362 345543 460724 691086 1382172