Search a number
-
+
5004006240 = 253519952387
BaseRepresentation
bin1001010100100001…
…10001001101100000
3110220201220212002110
410222100301031200
540222011144430
62144313115320
7235001231322
oct45220611540
913821825073
105004006240
1121386a3a52
12b779b8b40
1361993224c
14356825612
151e44987b0
hex12a431360

5004006240 has 96 divisors (see below), whose sum is σ = 15842131200. Its totient is φ = 1327670784.

The previous prime is 5004006239. The next prime is 5004006299. The reversal of 5004006240 is 426004005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69327 + ... + 121713.

It is an arithmetic number, because the mean of its divisors is an integer number (165022200).

Almost surely, 25004006240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5004006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921065600).

5004006240 is an abundant number, since it is smaller than the sum of its proper divisors (10838124960).

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

5004006240 is a wasteful number, since it uses less digits than its factorization.

5004006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52604 (or 52596 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5004006240 is about 70739.0008411202. Note that the first 3 decimals coincide. The cubic root of 5004006240 is about 1710.4325296888.

The spelling of 5004006240 in words is "five billion, four million, six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 52387 95520 104774 157161 209548 261935 314322 419096 523870 628644 785805 838192 1047740 1257288 1571610 1676384 2095480 2514576 3143220 4190960 5029152 6286440 8381920 10425013 12572880 20850026 25145760 31275039 41700052 52125065 62550078 83400104 104250130 125100156 156375195 166800208 208500260 250200312 312750390 333600416 417000520 500400624 625500780 834001040 1000801248 1251001560 1668002080 2502003120 5004006240