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1249140 = 2235109191
BaseRepresentation
bin100110000111101110100
32100110111110
410300331310
5304433030
642435020
713421544
oct4607564
92313443
101249140
11783552
12502a70
13349749
14247324
1519a1b0
hex130f74

1249140 has 48 divisors (see below), whose sum is σ = 3548160. Its totient is φ = 328320.

The previous prime is 1249139. The next prime is 1249141. The reversal of 1249140 is 419421.

It is an interprime number because it is at equal distance from previous prime (1249139) and next prime (1249141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6445 + ... + 6635.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

21249140 is an apocalyptic number.

1249140 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 1249140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774080).

1249140 is an abundant number, since it is smaller than the sum of its proper divisors (2299020).

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

1249140 is a wasteful number, since it uses less digits than its factorization.

1249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1249140 is about 1117.6493188832. The cubic root of 1249140 is about 107.6970246495.

The spelling of 1249140 in words is "one million, two hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 191 218 327 382 436 545 573 654 764 955 1090 1146 1308 1635 1910 2180 2292 2865 3270 3820 5730 6540 11460 20819 41638 62457 83276 104095 124914 208190 249828 312285 416380 624570 1249140