Search a number
-
+
2411024240 = 24589973491
BaseRepresentation
bin1000111110110101…
…0100111101110000
320020000202201111002
42033231110331300
514414210233430
61035124341132
7113514240122
oct21755247560
96200681432
102411024240
111027a62219
125735447a8
132c5678781
1418c2cd212
15e1a02845
hex8fb54f70

2411024240 has 80 divisors (see below), whose sum is σ = 5728695840. Its totient is φ = 943472640.

The previous prime is 2411024183. The next prime is 2411024249. The reversal of 2411024240 is 424201142.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411024249) 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, 688895 + ... + 692385.

It is an arithmetic number, because the mean of its divisors is an integer number (71608698).

Almost surely, 22411024240 is an apocalyptic number.

2411024240 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 2411024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864347920).

2411024240 is an abundant number, since it is smaller than the sum of its proper divisors (3317671600).

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

2411024240 is a wasteful number, since it uses less digits than its factorization.

2411024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2411024240 is about 49102.1816215940. The cubic root of 2411024240 is about 1340.9127663932.

Adding to 2411024240 its reverse (424201142), we get a palindrome (2835225382).

The spelling of 2411024240 in words is "two billion, four hundred eleven million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 97 178 194 356 388 445 485 712 776 890 970 1424 1552 1780 1940 3491 3560 3880 6982 7120 7760 8633 13964 17266 17455 27928 34532 34910 43165 55856 69064 69820 86330 138128 139640 172660 279280 310699 338627 345320 621398 677254 690640 1242796 1354508 1553495 1693135 2485592 2709016 3106990 3386270 4971184 5418032 6213980 6772540 12427960 13545080 24855920 27090160 30137803 60275606 120551212 150689015 241102424 301378030 482204848 602756060 1205512120 2411024240