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1298960 = 245131249
BaseRepresentation
bin100111101001000010000
32102222211122
410331020100
5313031320
643501412
714020025
oct4751020
92388748
101298960
11807a23
12527868
13366320
1425b54c
151a9d25
hex13d210

1298960 has 40 divisors (see below), whose sum is σ = 3255000. Its totient is φ = 479232.

The previous prime is 1298951. The next prime is 1298963. The reversal of 1298960 is 698921.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 1290496 = 92^2 + 1136^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1298960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (81375).

21298960 is an apocalyptic number.

1298960 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 1298960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627500).

1298960 is an abundant number, since it is smaller than the sum of its proper divisors (1956040).

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

1298960 is a wasteful number, since it uses less digits than its factorization.

1298960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1298960 is about 1139.7192636786. The cubic root of 1298960 is about 109.1101767314.

The spelling of 1298960 in words is "one million, two hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1249 2498 4996 6245 9992 12490 16237 19984 24980 32474 49960 64948 81185 99920 129896 162370 259792 324740 649480 1298960