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1291140 = 22345797
BaseRepresentation
bin100111011001110000100
32102121010000
410323032010
5312304030
643401300
713655154
oct4731604
92377100
101291140
11802064
12523230
133628b6
14258764
151a7860
hex13b384

1291140 has 60 divisors (see below), whose sum is σ = 4055436. Its totient is φ = 343872.

The previous prime is 1291139. The next prime is 1291153. The reversal of 1291140 is 411921.

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 746496 = 738^2 + 864^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1222 + ... + 2018.

21291140 is an apocalyptic number.

1291140 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 1291140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027718).

1291140 is an abundant number, since it is smaller than the sum of its proper divisors (2764296).

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

1291140 is a wasteful number, since it uses less digits than its factorization.

1291140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1291140 is about 1136.2834153502. The cubic root of 1291140 is about 108.8907808146.

It can be divided in two parts, 1291 and 140, that added together give a triangular number (1431 = T53).

The spelling of 1291140 in words is "one million, two hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 797 810 1594 1620 2391 3188 3985 4782 7173 7970 9564 11955 14346 15940 21519 23910 28692 35865 43038 47820 64557 71730 86076 107595 129114 143460 215190 258228 322785 430380 645570 1291140