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1321228460 = 225197347629
BaseRepresentation
bin100111011000000…
…0101100010101100
310102002010100201102
41032300011202230
510201213302320
6335034302232
744512154006
oct11660054254
93362110642
101321228460
11618887552
1230a587978
1318095b5b6
14c7689376
157aed5175
hex4ec058ac

1321228460 has 48 divisors (see below), whose sum is σ = 2960680800. Its totient is φ = 493807104.

The previous prime is 1321228459. The next prime is 1321228471. The reversal of 1321228460 is 648221231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926 + ... + 51554.

It is an arithmetic number, because the mean of its divisors is an integer number (61680850).

Almost surely, 21321228460 is an apocalyptic number.

1321228460 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 1321228460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480340400).

1321228460 is an abundant number, since it is smaller than the sum of its proper divisors (1639452340).

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

1321228460 is a wasteful number, since it uses less digits than its factorization.

1321228460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47730 (or 47728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1321228460 is about 36348.7064419079. The cubic root of 1321228460 is about 1097.3015012106.

Adding to 1321228460 its reverse (648221231), we get a palindrome (1969449691).

The spelling of 1321228460 in words is "one billion, three hundred twenty-one million, two hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 6935 13870 27740 47629 95258 190516 238145 476290 904951 952580 1809902 3476917 3619804 4524755 6953834 9049510 13907668 17384585 18099020 34769170 66061423 69538340 132122846 264245692 330307115 660614230 1321228460