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1313601450 = 235276120509
BaseRepresentation
bin100111001001011…
…1111011110101010
310101112202212102120
41032102333132222
510142240221300
6334203012110
744360266560
oct11622773652
93345685376
101313601450
11614548237
12307b0a036
1317c1bab85
14c6661a30
157a4ca3a0
hex4e4bf7aa

1313601450 has 96 divisors (see below), whose sum is σ = 3784341120. Its totient is φ = 295315200.

The previous prime is 1313601437. The next prime is 1313601467. The reversal of 1313601450 is 541063131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313601450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53796 + ... + 74304.

It is an arithmetic number, because the mean of its divisors is an integer number (39420220).

Almost surely, 21313601450 is an apocalyptic number.

1313601450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313601450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892170560).

1313601450 is an abundant number, since it is smaller than the sum of its proper divisors (2470739670).

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

1313601450 is a wasteful number, since it uses less digits than its factorization.

1313601450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20592 (or 20587 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1313601450 is about 36243.6401317528. The cubic root of 1313601450 is about 1095.1859737086.

Adding to 1313601450 its reverse (541063131), we get a palindrome (1854664581).

The spelling of 1313601450 in words is "one billion, three hundred thirteen million, six hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 61 70 75 105 122 150 175 183 210 305 350 366 427 525 610 854 915 1050 1281 1525 1830 2135 2562 3050 4270 4575 6405 9150 10675 12810 20509 21350 32025 41018 61527 64050 102545 123054 143563 205090 287126 307635 430689 512725 615270 717815 861378 1025450 1251049 1435630 1538175 2153445 2502098 3076350 3589075 3753147 4306890 6255245 7178150 7506294 8757343 10767225 12510490 17514686 18765735 21534450 26272029 31276225 37531470 43786715 52544058 62552450 87573430 93828675 131360145 187657350 218933575 262720290 437867150 656800725 1313601450