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103441140 = 223251189587
BaseRepresentation
bin1100010101001…
…10001011110100
321012122100120100
412022212023310
5202440104030
614133034100
72364143445
oct612461364
9235570510
10103441140
1153431950
122a785930
1318579b9a
14da492cc
159134360
hex62a62f4

103441140 has 144 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 24752640.

The previous prime is 103441133. The next prime is 103441147. The reversal of 103441140 is 41144301.

It is an interprime number because it is at equal distance from previous prime (103441133) and next prime (103441147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103441147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175927 + ... + 176513.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2103441140 is an apocalyptic number.

103441140 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 103441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

103441140 is an abundant number, since it is smaller than the sum of its proper divisors (243290700).

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

103441140 is a wasteful number, since it uses less digits than its factorization.

103441140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103441140 is about 10170.6017521089. The cubic root of 103441140 is about 469.4230736108.

Adding to 103441140 its reverse (41144301), we get a palindrome (144585441).

The spelling of 103441140 in words is "one hundred three million, four hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 587 660 801 890 979 990 1068 1174 1335 1602 1761 1780 1958 1980 2348 2670 2935 2937 3204 3522 3916 4005 4895 5283 5340 5870 5874 6457 7044 8010 8805 8811 9790 10566 11740 11748 12914 14685 16020 17610 17622 19371 19580 21132 25828 26415 29370 32285 35220 35244 38742 44055 52243 52830 58113 58740 64570 77484 88110 96855 104486 105660 116226 129140 156729 176220 193710 208972 232452 261215 290565 313458 387420 470187 522430 574673 581130 626916 783645 940374 1044860 1149346 1162260 1567290 1724019 1880748 2298692 2350935 2873365 3134580 3448038 4701870 5172057 5746730 6896076 8620095 9403740 10344114 11493460 17240190 20688228 25860285 34480380 51720570 103441140