Search a number
-
+
1450728240 = 243513491947
BaseRepresentation
bin101011001111000…
…0101101100110000
310202002210122000120
41112132011230300
510432341300430
6355542050240
750643662253
oct12636055460
93662718016
101450728240
11684997665
12345a19980
131a17304a0
14da95909a
1587565610
hex56785b30

1450728240 has 160 divisors (see below), whose sum is σ = 4858189056. Its totient is φ = 355998720.

The previous prime is 1450728221. The next prime is 1450728247. The reversal of 1450728240 is 428270541.

It is a super-2 number, since 2×14507282402 = 4209224852666995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1450728247) 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, 1531447 + ... + 1532393.

Almost surely, 21450728240 is an apocalyptic number.

1450728240 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 1450728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429094528).

1450728240 is an abundant number, since it is smaller than the sum of its proper divisors (3407460816).

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

1450728240 is a wasteful number, since it uses less digits than its factorization.

1450728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1450728240 is about 38088.4265886634. The cubic root of 1450728240 is about 1132.0406491498.

Adding to 1450728240 its reverse (428270541), we get a palindrome (1878998781).

The spelling of 1450728240 in words is "one billion, four hundred fifty million, seven hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 491 520 624 780 947 982 1040 1473 1560 1894 1964 2455 2841 2946 3120 3788 3928 4735 4910 5682 5892 6383 7365 7576 7856 9470 9820 11364 11784 12311 12766 14205 14730 15152 18940 19149 19640 22728 23568 24622 25532 28410 29460 31915 36933 37880 38298 39280 45456 49244 51064 56820 58920 61555 63830 73866 75760 76596 95745 98488 102128 113640 117840 123110 127660 147732 153192 184665 191490 196976 227280 246220 255320 295464 306384 369330 382980 464977 492440 510640 590928 738660 765960 929954 984880 1394931 1477320 1531920 1859908 2324885 2789862 2954640 3719816 4649770 5579724 6044701 6974655 7439632 9299540 11159448 12089402 13949310 18134103 18599080 22318896 24178804 27898620 30223505 36268206 37198160 48357608 55797240 60447010 72536412 90670515 96715216 111594480 120894020 145072824 181341030 241788040 290145648 362682060 483576080 725364120 1450728240