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1412416 = 2629761
BaseRepresentation
bin101011000110101000000
32122202110201
411120311000
5330144131
650134544
715001555
oct5306500
92582421
101412416
11885195
12581454
133a5b65
1428aa2c
151cd761
hex158d40

1412416 has 28 divisors (see below), whose sum is σ = 2903220. Its totient is φ = 680960.

The previous prime is 1412413. The next prime is 1412419. The reversal of 1412416 is 6142141.

It is an interprime number because it is at equal distance from previous prime (1412413) and next prime (1412419).

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 1166400 = 496^2 + 1080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1412393 and 1412402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1476 + ... + 2236.

21412416 is an apocalyptic number.

1412416 is a gapful number since it is divisible by the number (16) 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 1412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451610).

1412416 is an abundant number, since it is smaller than the sum of its proper divisors (1490804).

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

1412416 is an equidigital number, since it uses as much as digits as its factorization.

1412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 1412416 is about 1188.4510928095. The cubic root of 1412416 is about 112.1986271270.

Adding to 1412416 its reverse (6142141), we get a palindrome (7554557).

The spelling of 1412416 in words is "one million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 761 928 1522 1856 3044 6088 12176 22069 24352 44138 48704 88276 176552 353104 706208 1412416