Search a number
-
+
241106800 = 245211371481
BaseRepresentation
bin11100101111011…
…11111101110000
3121210200111100111
432113233331300
5443210404200
635531431104
75655242164
oct1627577560
9553614314
10241106800
1111410a120
12688b5494
133ac4a85c
1424042ca4
15162790ba
hexe5eff70

241106800 has 120 divisors (see below), whose sum is σ = 649436112. Its totient is φ = 85248000.

The previous prime is 241106791. The next prime is 241106807. The reversal of 241106800 is 8601142.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241106807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162060 + ... + 163540.

Almost surely, 2241106800 is an apocalyptic number.

241106800 is a gapful number since it is divisible by the number (20) 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 241106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324718056).

241106800 is an abundant number, since it is smaller than the sum of its proper divisors (408329312).

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

241106800 is a wasteful number, since it uses less digits than its factorization.

241106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 241106800 is about 15527.6141116399. The cubic root of 241106800 is about 622.4003378027.

Adding to 241106800 its reverse (8601142), we get a palindrome (249707942).

The spelling of 241106800 in words is "two hundred forty-one million, one hundred six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 148 176 185 200 220 275 296 370 400 407 440 550 592 740 814 880 925 1100 1480 1481 1628 1850 2035 2200 2960 2962 3256 3700 4070 4400 5924 6512 7400 7405 8140 10175 11848 14800 14810 16280 16291 20350 23696 29620 32560 32582 37025 40700 54797 59240 65164 74050 81400 81455 109594 118480 130328 148100 162800 162910 219188 260656 273985 296200 325820 407275 438376 547970 592400 602767 651640 814550 876752 1095940 1205534 1303280 1369925 1629100 2191880 2411068 2739850 3013835 3258200 4383760 4822136 5479700 6027670 6516400 9644272 10959400 12055340 15069175 21918800 24110680 30138350 48221360 60276700 120553400 241106800