Search a number
-
+
940030560 = 25325793257
BaseRepresentation
bin111000000001111…
…011101001100000
32102111211111111200
4320001323221200
53411121434220
6233140041200
732203061610
oct7001735140
92374744450
10940030560
11442693967
12222993200
1311c9a1101
148cbbaa40
15577d7890
hex3807ba60

940030560 has 144 divisors (see below), whose sum is σ = 3666158496. Its totient is φ = 214861824.

The previous prime is 940030543. The next prime is 940030561. The reversal of 940030560 is 65030049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940030561) 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 23 ways as a sum of consecutive naturals, for example, 36549 + ... + 56708.

It is an arithmetic number, because the mean of its divisors is an integer number (25459434).

Almost surely, 2940030560 is an apocalyptic number.

940030560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

940030560 is an abundant number, since it is smaller than the sum of its proper divisors (2726127936).

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

940030560 is a wasteful number, since it uses less digits than its factorization.

940030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93285 (or 93274 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 940030560 is about 30659.9178081090. The cubic root of 940030560 is about 979.5967242571.

The spelling of 940030560 in words is "nine hundred forty million, thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 93257 186514 279771 373028 466285 559542 652799 746056 839313 932570 1119084 1305598 1398855 1492112 1678626 1865140 1958397 2238168 2611196 2797710 2984224 3263995 3357252 3730280 3916794 4196565 4476336 5222392 5595420 5875191 6527990 6714504 7460560 7833588 8393130 8952672 9791985 10444784 11190840 11750382 13055980 13429008 14921120 15667176 16786260 19583970 20889568 22381680 23500764 26111960 26858016 29375955 31334352 33572520 39167940 44763360 47001528 52223920 58751910 62668704 67145040 78335880 94003056 104447840 117503820 134290080 156671760 188006112 235007640 313343520 470015280 940030560