Search a number
-
+
1198272 = 263792
BaseRepresentation
bin100100100100011000000
32020212201110
410210203000
5301321042
641403320
713120335
oct4444300
92225643
101198272
11749309
12499540
1332c54a
1423298c
1518a09c
hex1248c0

1198272 has 42 divisors (see below), whose sum is σ = 3211068. Its totient is φ = 394368.

The previous prime is 1198261. The next prime is 1198289. The reversal of 1198272 is 2728911.

Its product of digits (2016) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15129 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (76454).

21198272 is an apocalyptic number.

1198272 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 1198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605534).

1198272 is an abundant number, since it is smaller than the sum of its proper divisors (2012796).

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

1198272 is an frugal number, since it uses more digits than its factorization.

1198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 84 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 1198272 is about 1094.6561103835. The cubic root of 1198272 is about 106.2148248037.

The spelling of 1198272 in words is "one million, one hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 6241 7584 12482 15168 18723 24964 37446 49928 74892 99856 149784 199712 299568 399424 599136 1198272