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102103440 = 24352353349
BaseRepresentation
bin1100001010111…
…11100110010000
321010010101120220
412011133212100
5202114302230
614044233040
72346602445
oct605374620
9233111526
10102103440
11526a890a
122a23b780
13181cc04a
14d7bb9cc
158e6cd10
hex615f990

102103440 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 25479168.

The previous prime is 102103427. The next prime is 102103451. The reversal of 102103440 is 44301201.

It is a super-2 number, since 2×1021034402 = 20850224919667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 292386 + ... + 292734.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2102103440 is an apocalyptic number.

102103440 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 102103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

102103440 is an abundant number, since it is smaller than the sum of its proper divisors (235374960).

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

102103440 is a wasteful number, since it uses less digits than its factorization.

102103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102103440 is about 10104.6246837772. The cubic root of 102103440 is about 467.3907625085.

Adding to 102103440 its reverse (44301201), we get a palindrome (146404641).

The spelling of 102103440 in words is "one hundred two million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 53 60 69 80 92 106 115 120 138 159 184 212 230 240 265 276 318 345 349 368 424 460 530 552 636 690 698 795 848 920 1047 1060 1104 1219 1272 1380 1396 1590 1745 1840 2094 2120 2438 2544 2760 2792 3180 3490 3657 4188 4240 4876 5235 5520 5584 6095 6360 6980 7314 8027 8376 9752 10470 12190 12720 13960 14628 16054 16752 18285 18497 19504 20940 24081 24380 27920 29256 32108 36570 36994 40135 41880 48162 48760 55491 58512 64216 73140 73988 80270 83760 92485 96324 97520 110982 120405 128432 146280 147976 160540 184970 192648 221964 240810 277455 292560 295952 321080 369940 385296 425431 443928 481620 554910 642160 739880 850862 887856 963240 1109820 1276293 1479760 1701724 1926480 2127155 2219640 2552586 3403448 4254310 4439280 5105172 6381465 6806896 8508620 10210344 12762930 17017240 20420688 25525860 34034480 51051720 102103440