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103243000 = 23537443
BaseRepresentation
bin1100010011101…
…01110011111000
321012021021202211
412021311303320
5202412234000
614124504504
72362360000
oct611656370
9235237684
10103243000
1153306aa3
122a6ab134
131850a943
14d9d7000
1590e57ba
hex6275cf8

103243000 has 160 divisors (see below), whose sum is σ = 288390960. Its totient is φ = 34574400.

The previous prime is 103242917. The next prime is 103243027. The reversal of 103243000 is 342301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2400979 + ... + 2401021.

Almost surely, 2103243000 is an apocalyptic number.

103243000 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 103243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144195480).

103243000 is an abundant number, since it is smaller than the sum of its proper divisors (185147960).

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

103243000 is an frugal number, since it uses more digits than its factorization.

103243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 103243000 is about 10160.8562631306. The cubic root of 103243000 is about 469.1231576765.

Adding to 103243000 its reverse (342301), we get a palindrome (103585301).

The spelling of 103243000 in words is "one hundred three million, two hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 49 50 56 70 86 98 100 125 140 172 175 196 200 215 245 250 280 301 343 344 350 392 430 490 500 602 686 700 860 875 980 1000 1075 1204 1225 1372 1400 1505 1715 1720 1750 1960 2107 2150 2401 2408 2450 2744 3010 3430 3500 4214 4300 4802 4900 5375 6020 6125 6860 7000 7525 8428 8575 8600 9604 9800 10535 10750 12005 12040 12250 13720 14749 15050 16856 17150 19208 21070 21500 24010 24500 29498 30100 34300 37625 42140 42875 43000 48020 49000 52675 58996 60025 60200 68600 73745 75250 84280 85750 96040 103243 105350 117992 120050 147490 150500 171500 206486 210700 240100 263375 294980 300125 301000 343000 368725 412972 421400 480200 516215 526750 589960 600250 737450 825944 1032430 1053500 1200500 1474900 1843625 2064860 2107000 2401000 2581075 2949800 3687250 4129720 5162150 7374500 10324300 12905375 14749000 20648600 25810750 51621500 103243000