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1197072 = 243317163
BaseRepresentation
bin100100100010000010000
32020211002000
410210100100
5301301242
641354000
713114002
oct4442020
92224060
101197072
11748418
12498900
1332bb36
14232372
15189a4c
hex124410

1197072 has 80 divisors (see below), whose sum is σ = 3660480. Its totient is φ = 373248.

The previous prime is 1197067. The next prime is 1197073. The reversal of 1197072 is 2707911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7263 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (45756).

21197072 is an apocalyptic number.

1197072 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 1197072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830240).

1197072 is an abundant number, since it is smaller than the sum of its proper divisors (2463408).

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

1197072 is a wasteful number, since it uses less digits than its factorization.

1197072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1197072 is about 1094.1078557437. The cubic root of 1197072 is about 106.1793569631.

The spelling of 1197072 in words is "one million, one hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 163 204 216 272 306 326 408 432 459 489 612 652 816 918 978 1224 1304 1467 1836 1956 2448 2608 2771 2934 3672 3912 4401 5542 5868 7344 7824 8313 8802 11084 11736 16626 17604 22168 23472 24939 33252 35208 44336 49878 66504 70416 74817 99756 133008 149634 199512 299268 399024 598536 1197072