[go: up one dir, main page]

Search a number
-
+
5340506580 = 2234522314783
BaseRepresentation
bin1001111100101000…
…11010100111010100
3111210012002211210000
410332110122213110
541414132202310
62241533331300
7246225362013
oct47624324724
914705084700
105340506580
1122a0638702
121050636b30
1367156c986
143893baa7a
15213cb74c0
hex13e51a9d4

5340506580 has 120 divisors (see below), whose sum is σ = 16829632512. Its totient is φ = 1417652928.

The previous prime is 5340506579. The next prime is 5340506581. The reversal of 5340506580 is 856050435.

It is an interprime number because it is at equal distance from previous prime (5340506579) and next prime (5340506581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340506581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353869 + ... + 368651.

Almost surely, 25340506580 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 5340506580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414816256).

5340506580 is an abundant number, since it is smaller than the sum of its proper divisors (11489125932).

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

5340506580 is a wasteful number, since it uses less digits than its factorization.

5340506580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5340506580 is about 73078.7696940774. The cubic root of 5340506580 is about 1747.9438795786.

The spelling of 5340506580 in words is "five billion, three hundred forty million, five hundred six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 223 270 324 405 446 540 669 810 892 1115 1338 1620 2007 2230 2676 3345 4014 4460 6021 6690 8028 10035 12042 13380 14783 18063 20070 24084 29566 30105 36126 40140 44349 59132 60210 72252 73915 88698 90315 120420 133047 147830 177396 180630 221745 266094 295660 361260 399141 443490 532188 665235 798282 886980 1197423 1330470 1596564 1995705 2394846 2660940 3296609 3991410 4789692 5987115 6593218 7982820 9889827 11974230 13186436 16483045 19779654 23948460 29669481 32966090 39559308 49449135 59338962 65932180 89008443 98898270 118677924 148347405 178016886 197796540 267025329 296694810 356033772 445042215 534050658 593389620 890084430 1068101316 1335126645 1780168860 2670253290 5340506580