Search a number
-
+
241463920 = 24517434129
BaseRepresentation
bin11100110010001…
…11001001110000
3121211100122020011
432121013021300
5443303321140
635543224304
75661260305
oct1631071160
9554318204
10241463920
11114333465
1268a48094
133b044279
14240d70ac
15162e9cea
hexe647270

241463920 has 80 divisors (see below), whose sum is σ = 608398560. Its totient is φ = 88768512.

The previous prime is 241463917. The next prime is 241463921. The reversal of 241463920 is 29364142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241463921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56416 + ... + 60544.

It is an arithmetic number, because the mean of its divisors is an integer number (7604982).

Almost surely, 2241463920 is an apocalyptic number.

241463920 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 241463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304199280).

241463920 is an abundant number, since it is smaller than the sum of its proper divisors (366934640).

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

241463920 is a wasteful number, since it uses less digits than its factorization.

241463920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 241463920 is about 15539.1093695874. The cubic root of 241463920 is about 622.7074796422.

The spelling of 241463920 in words is "two hundred forty-one million, four hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 4129 5848 7310 8258 11696 14620 16516 20645 29240 33032 41290 58480 66064 70193 82580 140386 165160 177547 280772 330320 350965 355094 561544 701930 710188 887735 1123088 1403860 1420376 1775470 2807720 2840752 3018299 3550940 5615440 6036598 7101880 12073196 14203760 15091495 24146392 30182990 48292784 60365980 120731960 241463920