Search a number
-
+
1312404500 = 225311475077
BaseRepresentation
bin100111000111001…
…1011010000010100
310101110112001112002
41032032123100110
510141433421000
6334121214432
744344153121
oct11616332024
93343461462
101312404500
116138aaa20
12307631418
1317bb8c114
14c642d748
157a3408d5
hex4e39b414

1312404500 has 96 divisors (see below), whose sum is σ = 3194021376. Its totient is φ = 466992000.

The previous prime is 1312404493. The next prime is 1312404503. The reversal of 1312404500 is 54042131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312404503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255962 + ... + 261038.

It is an arithmetic number, because the mean of its divisors is an integer number (33271056).

Almost surely, 21312404500 is an apocalyptic number.

1312404500 is a gapful number since it is divisible by the number (10) 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 1312404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597010688).

1312404500 is an abundant number, since it is smaller than the sum of its proper divisors (1881616876).

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

1312404500 is a wasteful number, since it uses less digits than its factorization.

1312404500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1312404500 is about 36227.1238162789. The cubic root of 1312404500 is about 1094.8532291483.

Adding to 1312404500 its reverse (54042131), we get a palindrome (1366446631).

The spelling of 1312404500 in words is "one billion, three hundred twelve million, four hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 125 188 220 235 250 275 470 500 517 550 940 1034 1100 1175 1375 2068 2350 2585 2750 4700 5077 5170 5500 5875 10154 10340 11750 12925 20308 23500 25385 25850 50770 51700 55847 64625 101540 111694 126925 129250 223388 238619 253850 258500 279235 477238 507700 558470 634625 954476 1116940 1193095 1269250 1396175 2386190 2538500 2624809 2792350 4772380 5249618 5584700 5965475 6980875 10499236 11930950 13124045 13961750 23861900 26248090 27923500 29827375 52496180 59654750 65620225 119309500 131240450 262480900 328101125 656202250 1312404500