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1250080 = 25513601
BaseRepresentation
bin100110001001100100000
32100111210021
410301030200
5310000310
642443224
713424356
oct4611440
92314707
101250080
11784227
12503514
13349cc0
142477d6
1519a5da
hex131320

1250080 has 48 divisors (see below), whose sum is σ = 3185784. Its totient is φ = 460800.

The previous prime is 1250069. The next prime is 1250083. The reversal of 1250080 is 800521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 258064 = 996^2 + 508^2 .

It is a sliding number, since 1250080 = 80 + 1250000 and 1/80 + 1/1250000 = 0.01250080.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1250083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780 + ... + 2380.

21250080 is an apocalyptic number.

1250080 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 1250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592892).

1250080 is an abundant number, since it is smaller than the sum of its proper divisors (1935704).

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

1250080 is a wasteful number, since it uses less digits than its factorization.

1250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1250080 is about 1118.0697652651. The cubic root of 1250080 is about 107.7240325162.

It can be divided in two parts, 12500 and 80, that multiplied together give a 6-th power (1000000 = 106).

The spelling of 1250080 in words is "one million, two hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 601 1040 1202 2080 2404 3005 4808 6010 7813 9616 12020 15626 19232 24040 31252 39065 48080 62504 78130 96160 125008 156260 250016 312520 625040 1250080