Search a number
-
+
103200048 = 2433734127
BaseRepresentation
bin1100010011010…
…11010100110000
321012012002212000
412021223110300
5202404400143
614123534000
72362120530
oct611532460
9235162760
10103200048
11532877a6
122a68a300
13184c4223
14d9c54c0
1590d7bd3
hex626b530

103200048 has 80 divisors (see below), whose sum is σ = 338549760. Its totient is φ = 29484864.

The previous prime is 103200029. The next prime is 103200049. The reversal of 103200048 is 840002301.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103200048.

It is not an unprimeable number, because it can be changed into a prime (103200049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14040 + ... + 20087.

It is an arithmetic number, because the mean of its divisors is an integer number (4231872).

Almost surely, 2103200048 is an apocalyptic number.

103200048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103200048 is an abundant number, since it is smaller than the sum of its proper divisors (235349712).

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

103200048 is a wasteful number, since it uses less digits than its factorization.

103200048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34151 (or 34139 counting only the distinct ones).

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

The square root of 103200048 is about 10158.7424418577. The cubic root of 103200048 is about 469.0580924975.

Adding to 103200048 its reverse (840002301), we get a palindrome (943202349).

The spelling of 103200048 in words is "one hundred three million, two hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 34127 68254 102381 136508 204762 238889 273016 307143 409524 477778 546032 614286 716667 819048 921429 955556 1228572 1433334 1638096 1842858 1911112 2150001 2457144 2866668 3685716 3822224 4300002 4914288 5733336 6450003 7371432 8600004 11466672 12900006 14742864 17200008 25800012 34400016 51600024 103200048