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1197120 = 26352943
BaseRepresentation
bin100100100010001000000
32020211010210
410210101000
5301301440
641354120
713114101
oct4442100
92224123
101197120
11748461
12498940
1332bb72
142323a8
15189a80
hex124440

1197120 has 112 divisors (see below), whose sum is σ = 4023360. Its totient is φ = 301056.

The previous prime is 1197113. The next prime is 1197121. The reversal of 1197120 is 217911.

It is an Ulam number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197121) 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, 27819 + ... + 27861.

21197120 is an apocalyptic number.

1197120 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 1197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680).

1197120 is an abundant number, since it is smaller than the sum of its proper divisors (2826240).

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

1197120 is a wasteful number, since it uses less digits than its factorization.

1197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1197120 is about 1094.1297912040. The cubic root of 1197120 is about 106.1807761318.

The spelling of 1197120 in words is "one million, one hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 43 48 58 60 64 80 86 87 96 116 120 129 145 160 172 174 192 215 232 240 258 290 320 344 348 430 435 464 480 516 580 645 688 696 860 870 928 960 1032 1160 1247 1290 1376 1392 1720 1740 1856 2064 2320 2494 2580 2752 2784 3440 3480 3741 4128 4640 4988 5160 5568 6235 6880 6960 7482 8256 9280 9976 10320 12470 13760 13920 14964 18705 19952 20640 24940 27840 29928 37410 39904 41280 49880 59856 74820 79808 99760 119712 149640 199520 239424 299280 399040 598560 1197120