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5004020320 = 255136139439
BaseRepresentation
bin1001010100100001…
…10100101001100000
3110220201221120101221
410222100310221200
540222012122240
62144313304424
7235001320345
oct45220645140
913821846357
105004020320
112138703592
12b77a05114
13619938790
1435682a7cc
151e449ca4a
hex12a434a60

5004020320 has 96 divisors (see below), whose sum is σ = 12940421760. Its totient is φ = 1817303040.

The previous prime is 5004020317. The next prime is 5004020327. The reversal of 5004020320 is 230204005.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5004020294 and 5004020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004020327) 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, 107161 + ... + 146599.

It is an arithmetic number, because the mean of its divisors is an integer number (134796060).

Almost surely, 25004020320 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 5004020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470210880).

5004020320 is an abundant number, since it is smaller than the sum of its proper divisors (7936401440).

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

5004020320 is a wasteful number, since it uses less digits than its factorization.

5004020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39528 (or 39520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5004020320 is about 70739.1003618225. The cubic root of 5004020320 is about 1710.4341339279.

Adding to 5004020320 its reverse (230204005), we get a palindrome (5234224325).

The spelling of 5004020320 in words is "five billion, four million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 65 80 104 122 130 160 208 244 260 305 416 488 520 610 793 976 1040 1220 1586 1952 2080 2440 3172 3965 4880 6344 7930 9760 12688 15860 25376 31720 39439 63440 78878 126880 157756 197195 315512 394390 512707 631024 788780 1025414 1262048 1577560 2050828 2405779 2563535 3155120 4101656 4811558 5127070 6310240 8203312 9623116 10254140 12028895 16406624 19246232 20508280 24057790 31275127 38492464 41016560 48115580 62550254 76984928 82033120 96231160 125100508 156375635 192462320 250201016 312751270 384924640 500402032 625502540 1000804064 1251005080 2502010160 5004020320