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5120022480 = 243567331699
BaseRepresentation
bin1001100010010110…
…10101011111010000
3111012211020002110020
410301023111133100
540441211204410
62204015503440
7240610321146
oct46113253720
914184202406
105120022480
112198134741
12baa827b80
13637992b01
14367dc5596
151ee763a70
hex1312d57d0

5120022480 has 80 divisors (see below), whose sum is σ = 15896155200. Its totient is φ = 1363267584.

The previous prime is 5120022449. The next prime is 5120022487. The reversal of 5120022480 is 842200215.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5120022480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120022487) 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, 145671 + ... + 177369.

It is an arithmetic number, because the mean of its divisors is an integer number (198701940).

Almost surely, 25120022480 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 5120022480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948077600).

5120022480 is an abundant number, since it is smaller than the sum of its proper divisors (10776132720).

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

5120022480 is a wasteful number, since it uses less digits than its factorization.

5120022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32388 (or 32382 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5120022480 is about 71554.3323635963. The cubic root of 5120022480 is about 1723.5502745058.

Adding to 5120022480 its reverse (842200215), we get a palindrome (5962222695).

The spelling of 5120022480 in words is "five billion, one hundred twenty million, twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 673 1346 2019 2692 3365 4038 5384 6730 8076 10095 10768 13460 16152 20190 26920 31699 32304 40380 53840 63398 80760 95097 126796 158495 161520 190194 253592 316990 380388 475485 507184 633980 760776 950970 1267960 1521552 1901940 2535920 3803880 7607760 21333427 42666854 64000281 85333708 106667135 128000562 170667416 213334270 256001124 320001405 341334832 426668540 512002248 640002810 853337080 1024004496 1280005620 1706674160 2560011240 5120022480