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1414008 = 233241479
BaseRepresentation
bin101011001001101111000
32122211122200
411121031320
5330222013
650150200
715006321
oct5311570
92584580
101414008
11886402
12582360
133a67bb
1428b448
151cde73
hex159378

1414008 has 48 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 458880.

The previous prime is 1414001. The next prime is 1414027. The reversal of 1414008 is 8004141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414001) 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 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

21414008 is an apocalyptic number.

1414008 is a gapful number since it is divisible by the number (18) 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 1414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1414008 is an abundant number, since it is smaller than the sum of its proper divisors (2517192).

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

1414008 is a wasteful number, since it uses less digits than its factorization.

1414008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414008 is about 1189.1206835305. The cubic root of 1414008 is about 112.2407660686.

Adding to 1414008 its reverse (8004141), we get a palindrome (9418149).

The spelling of 1414008 in words is "one million, four hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 479 492 738 958 984 1437 1476 1916 2874 2952 3832 4311 5748 8622 11496 17244 19639 34488 39278 58917 78556 117834 157112 176751 235668 353502 471336 707004 1414008