Search a number
-
+
6460215000 = 23354599719
BaseRepresentation
bin1100000010000111…
…10000111011011000
3121200020000220222020
412001003300323120
5101212303340000
62545012454440
7316042631031
oct60103607330
917606026866
106460215000
112815694168
12130361a420
137bc531135
14453da9a88
1527c242ba0
hex1810f0ed8

6460215000 has 160 divisors (see below), whose sum is σ = 20243520000. Its totient is φ = 1717456000.

The previous prime is 6460214989. The next prime is 6460215007. The reversal of 6460215000 is 5120646.

It is a super-3 number, since 3×64602150003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6460215007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8984641 + ... + 8985359.

It is an arithmetic number, because the mean of its divisors is an integer number (126522000).

Almost surely, 26460215000 is an apocalyptic number.

6460215000 is a gapful number since it is divisible by the number (60) 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 6460215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121760000).

6460215000 is an abundant number, since it is smaller than the sum of its proper divisors (13783305000).

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

6460215000 is a wasteful number, since it uses less digits than its factorization.

6460215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6460215000 is about 80375.4626736294. The cubic root of 6460215000 is about 1862.4401434152.

Adding to 6460215000 its reverse (5120646), we get a palindrome (6465335646).

The spelling of 6460215000 in words is "six billion, four hundred sixty million, two hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 599 600 625 719 750 1000 1198 1250 1438 1500 1797 1875 2157 2396 2500 2876 2995 3000 3594 3595 3750 4314 4792 5000 5752 5990 7188 7190 7500 8628 8985 10785 11980 14376 14380 14975 15000 17256 17970 17975 21570 23960 28760 29950 35940 35950 43140 44925 53925 59900 71880 71900 74875 86280 89850 89875 107850 119800 143800 149750 179700 179750 215700 224625 269625 299500 359400 359500 374375 430681 431400 449250 449375 539250 599000 719000 748750 861362 898500 898750 1078500 1123125 1292043 1348125 1497500 1722724 1797000 1797500 2153405 2157000 2246250 2584086 2696250 2995000 3445448 3595000 4306810 4492500 5168172 5392500 6460215 8613620 8985000 10336344 10767025 10785000 12920430 17227240 21534050 25840860 32301075 43068100 51681720 53835125 64602150 86136200 107670250 129204300 161505375 215340500 258408600 269175625 323010750 430681000 538351250 646021500 807526875 1076702500 1292043000 1615053750 2153405000 3230107500 6460215000