Search a number
-
+
1416432 = 243231283
BaseRepresentation
bin101011001110011110000
32122221222110
411121303300
5330311212
650205320
715016353
oct5316360
92587873
101416432
11888206
12583840
133a7934
1428c29a
151cea3c
hex159cf0

1416432 has 40 divisors (see below), whose sum is σ = 3821184. Its totient is φ = 451264.

The previous prime is 1416341. The next prime is 1416433. The reversal of 1416432 is 2346141.

It is a super-2 number, since 2×14164322 = 4012559221248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1416399 and 1416408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416433) 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 7 ways as a sum of consecutive naturals, for example, 463 + ... + 1745.

21416432 is an apocalyptic number.

1416432 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 1416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910592).

1416432 is an abundant number, since it is smaller than the sum of its proper divisors (2404752).

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

1416432 is a wasteful number, since it uses less digits than its factorization.

1416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1416432 is about 1190.1394876232. The cubic root of 1416432 is about 112.3048666716.

It can be divided in two parts, 14164 and 32, that added together give a triangular number (14196 = T168).

The spelling of 1416432 in words is "one million, four hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1283 2566 3849 5132 7698 10264 15396 20528 29509 30792 59018 61584 88527 118036 177054 236072 354108 472144 708216 1416432