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1420560 = 243251973
BaseRepresentation
bin101011010110100010000
32200011122100
411122310100
5330424220
650240400
715034401
oct5326420
92604570
101420560
11890319
12586100
133a978b
1428d9a8
151d0d90
hex15ad10

1420560 has 60 divisors (see below), whose sum is σ = 4773132. Its totient is φ = 378624.

The previous prime is 1420519. The next prime is 1420561. The reversal of 1420560 is 650241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 1016064 = 636^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (1420561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 1706.

21420560 is an apocalyptic number.

1420560 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 1420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386566).

1420560 is an abundant number, since it is smaller than the sum of its proper divisors (3352572).

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

1420560 is a wasteful number, since it uses less digits than its factorization.

1420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1420560 is about 1191.8724764001. The cubic root of 1420560 is about 112.4138599863.

The spelling of 1420560 in words is "one million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1973 3946 5919 7892 9865 11838 15784 17757 19730 23676 29595 31568 35514 39460 47352 59190 71028 78920 88785 94704 118380 142056 157840 177570 236760 284112 355140 473520 710280 1420560