Search a number
-
+
103240000 = 26542989
BaseRepresentation
bin1100010011101…
…01000101000000
321012021010122201
412021311011000
5202412140000
614124442544
72362345153
oct611650500
9235233581
10103240000
1153304816
122a6a9454
1318509476
14d9d5c9a
1590e496a
hex6275140

103240000 has 140 divisors (see below), whose sum is σ = 267804900. Its totient is φ = 39424000.

The previous prime is 103239991. The next prime is 103240001. The reversal of 103240000 is 42301.

It can be written as a sum of positive squares in 10 ways, for example, as 91240704 + 11999296 = 9552^2 + 3464^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103240001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1159956 + ... + 1160044.

Almost surely, 2103240000 is an apocalyptic number.

103240000 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 103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902450).

103240000 is an abundant number, since it is smaller than the sum of its proper divisors (164564900).

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

103240000 is an frugal number, since it uses more digits than its factorization.

103240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 103240000 is about 10160.7086367044. The cubic root of 103240000 is about 469.1186137587.

Adding to 103240000 its reverse (42301), we get a palindrome (103282301).

The spelling of 103240000 in words is "one hundred three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 89 100 116 125 145 160 178 200 232 250 290 320 356 400 445 464 500 580 625 712 725 800 890 928 1000 1160 1250 1424 1450 1600 1780 1856 2000 2225 2320 2500 2581 2848 2900 3560 3625 4000 4450 4640 5000 5162 5696 5800 7120 7250 8000 8900 9280 10000 10324 11125 11600 12905 14240 14500 17800 18125 20000 20648 22250 23200 25810 28480 29000 35600 36250 40000 41296 44500 46400 51620 55625 58000 64525 71200 72500 82592 89000 103240 111250 116000 129050 142400 145000 165184 178000 206480 222500 232000 258100 290000 322625 356000 412960 445000 516200 580000 645250 712000 825920 890000 1032400 1160000 1290500 1613125 1780000 2064800 2581000 3226250 3560000 4129600 5162000 6452500 10324000 12905000 20648000 25810000 51620000 103240000