Search a number
-
+
966303240 = 233575032287
BaseRepresentation
bin111001100110001…
…001111000001000
32111100021021211220
4321212021320020
53434333200430
6235515122040
732642304420
oct7146117010
92440237756
10966303240
114564a8a21
1222b743320
1312526c686
1492499480
1559c77110
hex39989e08

966303240 has 128 divisors (see below), whose sum is σ = 3321077760. Its totient is φ = 220333824.

The previous prime is 966303199. The next prime is 966303241. The reversal of 966303240 is 42303669.

It is not an unprimeable number, because it can be changed into a prime (966303241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 421377 + ... + 423663.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2966303240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

966303240 is an abundant number, since it is smaller than the sum of its proper divisors (2354774520).

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

966303240 is a wasteful number, since it uses less digits than its factorization.

966303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 966303240 is about 31085.4184465965. The cubic root of 966303240 is about 988.6391669136.

The spelling of 966303240 in words is "nine hundred sixty-six million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 503 840 1006 1509 2012 2287 2515 3018 3521 4024 4574 5030 6036 6861 7042 7545 9148 10060 10563 11435 12072 13722 14084 15090 16009 17605 18296 20120 21126 22870 27444 28168 30180 32018 34305 35210 42252 45740 48027 52815 54888 60360 64036 68610 70420 80045 84504 91480 96054 105630 128072 137220 140840 160090 192108 211260 240135 274440 320180 384216 422520 480270 640360 960540 1150361 1921080 2300722 3451083 4601444 5751805 6902166 8052527 9202888 11503610 13804332 16105054 17255415 23007220 24157581 27608664 32210108 34510830 40262635 46014440 48315162 64420216 69021660 80525270 96630324 120787905 138043320 161050540 193260648 241575810 322101080 483151620 966303240