Search a number
-
+
1322064750 = 235331101563
BaseRepresentation
bin100111011001101…
…0001101101101110
310102010200211220010
41032303101231232
510201422033000
6335104234050
744522236116
oct11663215556
93363624803
101322064750
116192a88a6
1230a90b926
13180b92146
14c7826046
157b0ecd50
hex4ecd1b6e

1322064750 has 128 divisors (see below), whose sum is σ = 3446157312. Its totient is φ = 337200000.

The previous prime is 1322064749. The next prime is 1322064761. The reversal of 1322064750 is 574602231.

It is a super-3 number, since 3×13220647503 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347969 + ... + 2348531.

It is an arithmetic number, because the mean of its divisors is an integer number (26923104).

Almost surely, 21322064750 is an apocalyptic number.

1322064750 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 1322064750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723078656).

1322064750 is an abundant number, since it is smaller than the sum of its proper divisors (2124092562).

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

1322064750 is a wasteful number, since it uses less digits than its factorization.

1322064750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1322064750 is about 36360.2083327365. The cubic root of 1322064750 is about 1097.5329698154.

Adding to 1322064750 its reverse (574602231), we get a palindrome (1896666981).

The spelling of 1322064750 in words is "one billion, three hundred twenty-two million, sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 101 125 150 155 186 202 250 303 310 375 465 505 563 606 750 775 930 1010 1126 1515 1550 1689 2325 2525 2815 3030 3131 3378 3875 4650 5050 5630 6262 7575 7750 8445 9393 11625 12625 14075 15150 15655 16890 17453 18786 23250 25250 28150 31310 34906 37875 42225 46965 52359 56863 70375 75750 78275 84450 87265 93930 104718 113726 140750 156550 170589 174530 211125 234825 261795 284315 341178 391375 422250 436325 469650 523590 568630 782750 852945 872650 1174125 1308975 1421575 1705890 1762753 2181625 2348250 2617950 2843150 3525506 4264725 4363250 5288259 6544875 7107875 8529450 8813765 10576518 13089750 14215750 17627530 21323625 26441295 42647250 44068825 52882590 88137650 132206475 220344125 264412950 440688250 661032375 1322064750