Search a number
-
+
2750679840 = 253520032861
BaseRepresentation
bin1010001111110100…
…0000101100100000
321002200220000101010
42203331000230200
521113133223330
61132540340520
7125110251516
oct24375005440
97080800333
102750679840
111191761527
12649244740
1334ab4c40c
141c14664b6
151117463b0
hexa3f40b20

2750679840 has 96 divisors (see below), whose sum is σ = 8671997376. Its totient is φ = 732892160.

The previous prime is 2750679829. The next prime is 2750679847. The reversal of 2750679840 is 489760572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2750679840.

It is not an unprimeable number, because it can be changed into a prime (2750679847) 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 15 ways as a sum of consecutive naturals, for example, 960010 + ... + 962870.

It is an arithmetic number, because the mean of its divisors is an integer number (90333306).

Almost surely, 22750679840 is an apocalyptic number.

2750679840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2750679840 is an abundant number, since it is smaller than the sum of its proper divisors (5921317536).

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

2750679840 is a wasteful number, since it uses less digits than its factorization.

2750679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2750679840 is about 52446.9240280114. The cubic root of 2750679840 is about 1401.1351066285.

The spelling of 2750679840 in words is "two billion, seven hundred fifty million, six hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2003 2861 4006 5722 6009 8012 8583 10015 11444 12018 14305 16024 17166 20030 22888 24036 28610 30045 32048 34332 40060 42915 45776 48072 57220 60090 64096 68664 80120 85830 91552 96144 114440 120180 137328 160240 171660 192288 228880 240360 274656 320480 343320 457760 480720 686640 961440 1373280 5730583 11461166 17191749 22922332 28652915 34383498 45844664 57305830 68766996 85958745 91689328 114611660 137533992 171917490 183378656 229223320 275067984 343834980 458446640 550135968 687669960 916893280 1375339920 2750679840