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110240424 = 23327534127
BaseRepresentation
bin1101001001000…
…10001010101000
321200102210102200
412210202022220
5211210143144
614534500200
72506012440
oct644421250
9250383380
10110240424
1157256298
1230b04660
1319aba928
14108d9120
159a28c69
hex69222a8

110240424 has 96 divisors (see below), whose sum is σ = 347742720. Its totient is φ = 30895488.

The previous prime is 110240401. The next prime is 110240437. The reversal of 110240424 is 424042011.

110240424 is a `hidden beast` number, since 1 + 1 + 0 + 240 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110240397 and 110240406.

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, 24649 + ... + 28775.

It is an arithmetic number, because the mean of its divisors is an integer number (3622320).

Almost surely, 2110240424 is an apocalyptic number.

110240424 is a gapful number since it is divisible by the number (14) 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 110240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871360).

110240424 is an abundant number, since it is smaller than the sum of its proper divisors (237502296).

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

110240424 is a wasteful number, since it uses less digits than its factorization.

110240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 110240424 is about 10499.5439900979. The cubic root of 110240424 is about 479.4908142115.

Adding to 110240424 its reverse (424042011), we get a palindrome (534282435).

The spelling of 110240424 in words is "one hundred ten million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4127 4452 6678 8254 8904 12381 13356 16508 24762 26712 28889 33016 37143 49524 57778 74286 86667 99048 115556 148572 173334 218731 231112 260001 297144 346668 437462 520002 656193 693336 874924 1040004 1312386 1531117 1749848 1968579 2080008 2624772 3062234 3937158 4593351 5249544 6124468 7874316 9186702 12248936 13780053 15748632 18373404 27560106 36746808 55120212 110240424