Search a number
-
+
110969040 = 24357135081
BaseRepresentation
bin1101001110101…
…00000011010000
321201210210220110
412213110003100
5211402002130
615002241320
72515135620
oct647240320
9251723813
10110969040
1157703756
12311b6240
1319cb4470
1410a48880
159b1eab0
hex69d40d0

110969040 has 160 divisors (see below), whose sum is σ = 423472896. Its totient is φ = 23408640.

The previous prime is 110969039. The next prime is 110969077. The reversal of 110969040 is 40969011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 110968989 and 110969007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19300 + ... + 24380.

Almost surely, 2110969040 is an apocalyptic number.

110969040 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 110969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211736448).

110969040 is an abundant number, since it is smaller than the sum of its proper divisors (312503856).

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

110969040 is a wasteful number, since it uses less digits than its factorization.

110969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 110969040 is about 10534.1843538074. The cubic root of 110969040 is about 480.5448673761.

The spelling of 110969040 in words is "one hundred ten million, nine hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5081 5460 7280 10162 10920 15243 20324 21840 25405 30486 35567 40648 50810 60972 66053 71134 76215 81296 101620 106701 121944 132106 142268 152430 177835 198159 203240 213402 243888 264212 284536 304860 330265 355670 396318 406480 426804 462371 528424 533505 569072 609720 660530 711340 792636 853608 924742 990795 1056848 1067010 1219440 1321060 1387113 1422680 1585272 1707216 1849484 1981590 2134020 2311855 2642120 2774226 2845360 3170544 3698968 3963180 4268040 4623710 5284240 5548452 6935565 7397936 7926360 8536080 9247420 11096904 13871130 15852720 18494840 22193808 27742260 36989680 55484520 110969040