Search a number
-
+
103048200 = 2334526361
BaseRepresentation
bin1100010010001…
…10010000001000
321011220101120000
412021012100020
5202340020300
614120403000
72360616033
oct611062010
9234811500
10103048200
1153193702
122a616460
1318470088
14d98601a
1590a7c00
hex6246408

103048200 has 120 divisors (see below), whose sum is σ = 357957930. Its totient is φ = 27475200.

The previous prime is 103048177. The next prime is 103048207. The reversal of 103048200 is 2840301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63584676 + 39463524 = 7974^2 + 6282^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (103048207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13020 + ... + 19380.

Almost surely, 2103048200 is an apocalyptic number.

103048200 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 103048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178978965).

103048200 is an abundant number, since it is smaller than the sum of its proper divisors (254909730).

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

103048200 is a wasteful number, since it uses less digits than its factorization.

103048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6371 counting only the distinct ones).

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

The square root of 103048200 is about 10151.2659309073. The cubic root of 103048200 is about 468.8279230457.

Adding to 103048200 its reverse (2840301), we get a palindrome (105888501).

The spelling of 103048200 in words is "one hundred three million, forty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 6361 8100 12722 16200 19083 25444 31805 38166 50888 57249 63610 76332 95415 114498 127220 152664 159025 171747 190830 228996 254440 286245 318050 343494 381660 457992 477075 515241 572490 636100 686988 763320 858735 954150 1030482 1144980 1272200 1373976 1431225 1717470 1908300 2060964 2289960 2576205 2862450 3434940 3816600 4121928 4293675 5152410 5724900 6869880 8587350 10304820 11449800 12881025 17174700 20609640 25762050 34349400 51524100 103048200