Search a number
-
+
103359000 = 23353131263
BaseRepresentation
bin1100010100100…
…10001000011000
321012111011220010
412022102020120
5202424442000
614131201520
72363352123
oct612221030
9235434803
10103359000
1153386168
122a7462a0
131854b694
14da273ba
159119d50
hex6292218

103359000 has 128 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 27248000.

The previous prime is 103358989. The next prime is 103359007. The reversal of 103359000 is 953301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103359007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392869 + ... + 393131.

It is an arithmetic number, because the mean of its divisors is an integer number (2548260).

Almost surely, 2103359000 is an apocalyptic number.

103359000 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 103359000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163088640).

103359000 is an abundant number, since it is smaller than the sum of its proper divisors (222818280).

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

103359000 is a wasteful number, since it uses less digits than its factorization.

103359000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 103359000 is about 10166.5628409999. The cubic root of 103359000 is about 469.2987883672.

The spelling of 103359000 in words is "one hundred three million, three hundred fifty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 263 300 375 393 500 524 526 600 655 750 786 789 1000 1048 1052 1310 1315 1500 1572 1578 1965 2104 2620 2630 3000 3144 3156 3275 3930 3945 5240 5260 6312 6550 6575 7860 7890 9825 10520 13100 13150 15720 15780 16375 19650 19725 26200 26300 31560 32750 32875 34453 39300 39450 49125 52600 65500 65750 68906 78600 78900 98250 98625 103359 131000 131500 137812 157800 172265 196500 197250 206718 263000 275624 344530 393000 394500 413436 516795 689060 789000 826872 861325 1033590 1378120 1722650 2067180 2583975 3445300 4134360 4306625 5167950 6890600 8613250 10335900 12919875 17226500 20671800 25839750 34453000 51679500 103359000