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1249380 = 2232511631
BaseRepresentation
bin100110001000001100100
32100110211100
410301001210
5304440010
642440100
713422336
oct4610144
92313740
101249380
11783750
12503030
133498a2
14247456
1519a2c0
hex131064

1249380 has 72 divisors (see below), whose sum is σ = 4140864. Its totient is φ = 302400.

The previous prime is 1249373. The next prime is 1249397. The reversal of 1249380 is 839421.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1665 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (57512).

21249380 is an apocalyptic number.

1249380 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 1249380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070432).

1249380 is an abundant number, since it is smaller than the sum of its proper divisors (2891484).

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

1249380 is a wasteful number, since it uses less digits than its factorization.

1249380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1249380 is about 1117.7566819304. The cubic root of 1249380 is about 107.7039215628.

The spelling of 1249380 in words is "one million, two hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 631 660 990 1262 1893 1980 2524 3155 3786 5679 6310 6941 7572 9465 11358 12620 13882 18930 20823 22716 27764 28395 34705 37860 41646 56790 62469 69410 83292 104115 113580 124938 138820 208230 249876 312345 416460 624690 1249380