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1416012 = 2231329313
BaseRepresentation
bin101011001101101001100
32122221101220
411121231030
5330303022
650203340
715015213
oct5315514
92587356
101416012
11887964
12583550
133a76a0
1428c07a
151ce85c
hex159b4c

1416012 has 48 divisors (see below), whose sum is σ = 3692640. Its totient is φ = 419328.

The previous prime is 1416011. The next prime is 1416029. The reversal of 1416012 is 2106141.

It is a junction number, because it is equal to n+sod(n) for n = 1415982 and 1416000.

It is not an unprimeable number, because it can be changed into a prime (1416011) 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 15 ways as a sum of consecutive naturals, for example, 4368 + ... + 4680.

It is an arithmetic number, because the mean of its divisors is an integer number (76930).

21416012 is an apocalyptic number.

1416012 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 1416012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846320).

1416012 is an abundant number, since it is smaller than the sum of its proper divisors (2276628).

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

1416012 is a wasteful number, since it uses less digits than its factorization.

1416012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1416012 is about 1189.9630246356. The cubic root of 1416012 is about 112.2937653723.

The spelling of 1416012 in words is "one million, four hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 313 348 377 626 754 939 1131 1252 1508 1878 2262 3756 4069 4524 8138 9077 12207 16276 18154 24414 27231 36308 48828 54462 108924 118001 236002 354003 472004 708006 1416012