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1287072 = 253241109
BaseRepresentation
bin100111010001110100000
32102101112100
410322032200
5312141242
643330400
713640253
oct4721640
92371470
101287072
117a9aa6
12520a00
13360aa7
1425709a
151a654c
hex13a3a0

1287072 has 72 divisors (see below), whose sum is σ = 3783780. Its totient is φ = 414720.

The previous prime is 1287071. The next prime is 1287101. The reversal of 1287072 is 2707821.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 41616 = 1116^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1287071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11754 + ... + 11862.

21287072 is an apocalyptic number.

1287072 is a gapful number since it is divisible by the number (12) 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 1287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891890).

1287072 is an abundant number, since it is smaller than the sum of its proper divisors (2496708).

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

1287072 is a wasteful number, since it uses less digits than its factorization.

1287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1287072 is about 1134.4919567807. The cubic root of 1287072 is about 108.7762996242.

The spelling of 1287072 in words is "one million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 109 123 144 164 218 246 288 327 328 369 436 492 654 656 738 872 981 984 1308 1312 1476 1744 1962 1968 2616 2952 3488 3924 3936 4469 5232 5904 7848 8938 10464 11808 13407 15696 17876 26814 31392 35752 40221 53628 71504 80442 107256 143008 160884 214512 321768 429024 643536 1287072