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1414320 = 24357183
BaseRepresentation
bin101011001010010110000
32122212002020
411121102300
5330224240
650151440
715010245
oct5312260
92585066
101414320
11886666
12582580
133a699b
1428b5cc
151ce0d0
hex1594b0

1414320 has 80 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 367360.

The previous prime is 1414319. The next prime is 1414321. The reversal of 1414320 is 234141.

It is an interprime number because it is at equal distance from previous prime (1414319) and next prime (1414321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1414320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16999 + ... + 17081.

21414320 is an apocalyptic number.

1414320 is a gapful number since it is divisible by the number (10) 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 1414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1414320 is an abundant number, since it is smaller than the sum of its proper divisors (3085392).

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

1414320 is a wasteful number, since it uses less digits than its factorization.

1414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1414320 is about 1189.2518656702. The cubic root of 1414320 is about 112.2490207470.

Adding to 1414320 its reverse (234141), we get a palindrome (1648461).

The spelling of 1414320 in words is "one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 83 120 142 166 213 240 249 284 332 355 415 426 498 568 664 710 830 852 996 1065 1136 1245 1328 1420 1660 1704 1992 2130 2490 2840 3320 3408 3984 4260 4980 5680 5893 6640 8520 9960 11786 17040 17679 19920 23572 29465 35358 47144 58930 70716 88395 94288 117860 141432 176790 235720 282864 353580 471440 707160 1414320