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109281280 = 21552329
BaseRepresentation
bin1101000001110…
…00000000000000
321121122001201211
412200320000000
5210434000110
614502135504
72464606213
oct640700000
9247561654
10109281280
1156760709
1230721594
13198431a4
141072977a
1598d998a
hex6838000

109281280 has 128 divisors (see below), whose sum is σ = 283111200. Its totient is φ = 40370176.

The previous prime is 109281259. The next prime is 109281281. The reversal of 109281280 is 82182901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109281281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3768306 + ... + 3768334.

Almost surely, 2109281280 is an apocalyptic number.

109281280 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 109281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141555600).

109281280 is an abundant number, since it is smaller than the sum of its proper divisors (173829920).

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

109281280 is an frugal number, since it uses more digits than its factorization.

109281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 109281280 is about 10453.7686984169. The cubic root of 109281280 is about 478.0961624426.

It can be divided in two parts, 109281 and 280, that added together give a square (109561 = 3312).

The spelling of 109281280 in words is "one hundred nine million, two hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 512 580 640 667 736 920 928 1024 1160 1280 1334 1472 1840 1856 2048 2320 2560 2668 2944 3335 3680 3712 4096 4640 5120 5336 5888 6670 7360 7424 8192 9280 10240 10672 11776 13340 14720 14848 16384 18560 20480 21344 23552 26680 29440 29696 32768 37120 40960 42688 47104 53360 58880 59392 74240 81920 85376 94208 106720 117760 118784 148480 163840 170752 188416 213440 235520 237568 296960 341504 376832 426880 471040 475136 593920 683008 753664 853760 942080 950272 1187840 1366016 1707520 1884160 2375680 2732032 3415040 3768320 4751360 5464064 6830080 10928128 13660160 21856256 27320320 54640640 109281280