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1381392 = 243253181
BaseRepresentation
bin101010001010000010000
32121011220200
411101100100
5323201032
645335200
714512245
oct5212020
92534820
101381392
11863951
12567500
133949bc
1427d5cc
151c447c
hex151410

1381392 has 60 divisors (see below), whose sum is σ = 3960684. Its totient is φ = 449280.

The previous prime is 1381381. The next prime is 1381397. The reversal of 1381392 is 2931831.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 992016 = 624^2 + 996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1381397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7542 + ... + 7722.

21381392 is an apocalyptic number.

1381392 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 1381392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980342).

1381392 is an abundant number, since it is smaller than the sum of its proper divisors (2579292).

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

1381392 is a wasteful number, since it uses less digits than its factorization.

1381392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 1381392 is about 1175.3263376612. The cubic root of 1381392 is about 111.3710494882.

The spelling of 1381392 in words is "one million, three hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 181 212 318 362 424 477 543 636 724 848 954 1086 1272 1448 1629 1908 2172 2544 2896 3258 3816 4344 6516 7632 8688 9593 13032 19186 26064 28779 38372 57558 76744 86337 115116 153488 172674 230232 345348 460464 690696 1381392