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6460104140 = 2257243831847
BaseRepresentation
bin1100000010000110…
…10101110111001100
3121200012211021220022
412001003111313030
5101212241313030
62545010241312
7316041656600
oct60103256714
917605737808
106460104140
112815618946
121303586238
137bc4c2839
14453d7b500
1527c21ede5
hex1810d5dcc

6460104140 has 144 divisors (see below), whose sum is σ = 16351517952. Its totient is φ = 2136161664.

The previous prime is 6460104137. The next prime is 6460104143. The reversal of 6460104140 is 414010646.

It is an interprime number because it is at equal distance from previous prime (6460104137) and next prime (6460104143).

It is not an unprimeable number, because it can be changed into a prime (6460104143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496697 + ... + 3498543.

It is an arithmetic number, because the mean of its divisors is an integer number (113552208).

Almost surely, 26460104140 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 6460104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175758976).

6460104140 is an abundant number, since it is smaller than the sum of its proper divisors (9891413812).

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

6460104140 is a wasteful number, since it uses less digits than its factorization.

6460104140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6460104140 is about 80374.7730323389. The cubic root of 6460104140 is about 1862.4294899361.

Adding to 6460104140 its reverse (414010646), we get a palindrome (6874114786).

The spelling of 6460104140 in words is "six billion, four hundred sixty million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 83 86 98 140 166 172 196 215 245 301 332 415 430 490 581 602 830 860 980 1162 1204 1505 1660 1847 2107 2324 2905 3010 3569 3694 4067 4214 5810 6020 7138 7388 8134 8428 9235 10535 11620 12929 14276 16268 17845 18470 20335 21070 24983 25858 35690 36940 40670 42140 49966 51716 64645 71380 79421 81340 90503 99932 124915 129290 153301 158842 174881 181006 249830 258580 306602 317684 349762 362012 397105 452515 499660 555947 613204 699524 766505 794210 874405 905030 1073107 1111894 1533010 1588420 1748810 1810060 2146214 2223788 2779735 3066020 3497620 3891629 4292428 5365535 5559470 6591943 7511749 7783258 10731070 11118940 13183886 15023498 15566516 19458145 21462140 26367772 30046996 32959715 37558745 38916290 46143601 65919430 75117490 77832580 92287202 131838860 150234980 184574404 230718005 323005207 461436010 646010414 922872020 1292020828 1615026035 3230052070 6460104140