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1168272 = 243271961
BaseRepresentation
bin100011101001110010000
32012100120100
410131032100
5244341042
641012400
712634020
oct4351620
92170510
101168272
11728816
12484100
1331b9b1
14225a80
1518124c
hex11d390

1168272 has 120 divisors (see below), whose sum is σ = 3997760. Its totient is φ = 311040.

The previous prime is 1168261. The next prime is 1168301. The reversal of 1168272 is 2728611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122 + ... + 19182.

21168272 is an apocalyptic number.

1168272 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 1168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998880).

1168272 is an abundant number, since it is smaller than the sum of its proper divisors (2829488).

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

1168272 is a wasteful number, since it uses less digits than its factorization.

1168272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1168272 is about 1080.8663192088. The cubic root of 1168272 is about 105.3209228911.

The spelling of 1168272 in words is "one million, one hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 61 63 72 76 84 112 114 122 126 133 144 152 168 171 183 228 244 252 266 304 336 342 366 399 427 456 488 504 532 549 684 732 798 854 912 976 1008 1064 1098 1159 1197 1281 1368 1464 1596 1708 2128 2196 2318 2394 2562 2736 2928 3192 3416 3477 3843 4392 4636 4788 5124 6384 6832 6954 7686 8113 8784 9272 9576 10248 10431 13908 15372 16226 18544 19152 20496 20862 24339 27816 30744 32452 41724 48678 55632 61488 64904 73017 83448 97356 129808 146034 166896 194712 292068 389424 584136 1168272