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110989440 = 273452141
BaseRepresentation
bin1101001110110…
…01000010000000
321201211211220000
412213121002000
5211403130230
615002520000
72515252242
oct647310200
9251754800
10110989440
1157718011
1231206000
1319cc0833
1410a52092
159b25b60
hex69d9080

110989440 has 160 divisors (see below), whose sum is σ = 396548460. Its totient is φ = 29583360.

The previous prime is 110989433. The next prime is 110989441. The reversal of 110989440 is 44989011.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 4981824 = 10296^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110989395 and 110989404.

It is not an unprimeable number, because it can be changed into a prime (110989441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50770 + ... + 52910.

Almost surely, 2110989440 is an apocalyptic number.

110989440 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 110989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198274230).

110989440 is an abundant number, since it is smaller than the sum of its proper divisors (285559020).

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

110989440 is an equidigital number, since it uses as much as digits as its factorization.

110989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 110989440 is about 10535.1525855110. The cubic root of 110989440 is about 480.5743125698.

The spelling of 110989440 in words is "one hundred ten million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2141 2160 2592 2880 3240 3456 4282 4320 5184 5760 6423 6480 8564 8640 10368 10705 12846 12960 17128 17280 19269 21410 25692 25920 32115 34256 38538 42820 51384 51840 57807 64230 68512 77076 85640 96345 102768 115614 128460 137024 154152 171280 173421 192690 205536 231228 256920 274048 289035 308304 342560 346842 385380 411072 462456 513840 578070 616608 685120 693684 770760 822144 867105 924912 1027680 1156140 1233216 1370240 1387368 1541520 1734210 1849824 2055360 2312280 2466432 2774736 3083040 3468420 3699648 4110720 4624560 5549472 6166080 6936840 7399296 9249120 11098944 12332160 13873680 18498240 22197888 27747360 36996480 55494720 110989440