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1312150420 = 225723533793
BaseRepresentation
bin100111000110101…
…1101001110010100
310101110001010222201
41032031131032110
510141402303140
6334111534244
744342044300
oct11615351624
93343033881
101312150420
11613747039
1230752a384
1317bb00589
14c63a4d00
157a2e049a
hex4e35d394

1312150420 has 72 divisors (see below), whose sum is σ = 3215323944. Its totient is φ = 448487424.

The previous prime is 1312150387. The next prime is 1312150481. The reversal of 1312150420 is 240512131.

It can be written as a sum of positive squares in 4 ways, for example, as 13557124 + 1298593296 = 3682^2 + 36036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344044 + ... + 347836.

It is an arithmetic number, because the mean of its divisors is an integer number (44657277).

Almost surely, 21312150420 is an apocalyptic number.

1312150420 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 1312150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607661972).

1312150420 is an abundant number, since it is smaller than the sum of its proper divisors (1903173524).

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

1312150420 is a wasteful number, since it uses less digits than its factorization.

1312150420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1312150420 is about 36223.6168818079. The cubic root of 1312150420 is about 1094.7825704802.

Adding to 1312150420 its reverse (240512131), we get a palindrome (1552662551).

The spelling of 1312150420 in words is "one billion, three hundred twelve million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 353 490 706 980 1412 1765 2471 3530 3793 4942 7060 7586 9884 12355 15172 17297 18965 24710 26551 34594 37930 49420 53102 69188 75860 86485 106204 132755 172970 185857 265510 345940 371714 531020 743428 929285 1338929 1858570 2677858 3717140 5355716 6694645 9372503 13389290 18745006 26778580 37490012 46862515 65607521 93725030 131215042 187450060 262430084 328037605 656075210 1312150420