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1414960 = 24523769
BaseRepresentation
bin101011001011100110000
32122212221221
411121130300
5330234320
650154424
715012151
oct5313460
92585857
101414960
11887098
12582a14
133a7071
1428b928
151ce3aa
hex159730

1414960 has 40 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 540672.

The previous prime is 1414957. The next prime is 1414979. The reversal of 1414960 is 694141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14149602 = 4004223603200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1456 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

21414960 is an apocalyptic number.

1414960 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 1414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

1414960 is an abundant number, since it is smaller than the sum of its proper divisors (2022320).

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

1414960 is a wasteful number, since it uses less digits than its factorization.

1414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1414960 is about 1189.5209119641. The cubic root of 1414960 is about 112.2659496221.

The spelling of 1414960 in words is "one million, four hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 769 920 1538 1840 3076 3845 6152 7690 12304 15380 17687 30760 35374 61520 70748 88435 141496 176870 282992 353740 707480 1414960