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1198208 = 27112337
BaseRepresentation
bin100100100100010000000
32020212122002
410210202000
5301320313
641403132
713120214
oct4444200
92225562
101198208
11749260
124994a8
1332c4cb
14232944
1518a058
hex124880

1198208 has 64 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 506880.

The previous prime is 1198201. The next prime is 1198217. The reversal of 1198208 is 8028911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11982082 = 2871404822528, which contains 22 as substring.

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 (1198201) 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 7 ways as a sum of consecutive naturals, for example, 32366 + ... + 32402.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

21198208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

1198208 is an abundant number, since it is smaller than the sum of its proper divisors (1592512).

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

1198208 is a wasteful number, since it uses less digits than its factorization.

1198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 1198208 is about 1094.6268770682. The cubic root of 1198208 is about 106.2129337834.

The spelling of 1198208 in words is "one million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 128 148 176 184 253 296 352 368 407 506 592 704 736 814 851 1012 1184 1408 1472 1628 1702 2024 2368 2944 3256 3404 4048 4736 6512 6808 8096 9361 13024 13616 16192 18722 26048 27232 32384 37444 52096 54464 74888 108928 149776 299552 599104 1198208