Search a number
-
+
4400019120 = 243572619059
BaseRepresentation
bin1000001100100001…
…01111011010110000
3102100122102010112010
410012100233122300
533002401102440
62004335402520
7214015355040
oct40620573260
912318363463
104400019120
111958772542
12a29683440
1355176b913
142da521720
151ab43e580
hex10642f6b0

4400019120 has 80 divisors (see below), whose sum is σ = 15588645120. Its totient is φ = 1005718272.

The previous prime is 4400019119. The next prime is 4400019149. The reversal of 4400019120 is 219100044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307850 + ... + 1311209.

It is an arithmetic number, because the mean of its divisors is an integer number (194858064).

Almost surely, 24400019120 is an apocalyptic number.

4400019120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400019120 is an abundant number, since it is smaller than the sum of its proper divisors (11188626000).

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

4400019120 is a wasteful number, since it uses less digits than its factorization.

4400019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619082 (or 2619076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4400019120 is about 66332.6399293741. The cubic root of 4400019120 is about 1638.6449147467.

Adding to 4400019120 its reverse (219100044), we get a palindrome (4619119164).

The spelling of 4400019120 in words is "four billion, four hundred million, nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2619059 5238118 7857177 10476236 13095295 15714354 18333413 20952472 26190590 31428708 36666826 39285885 41904944 52381180 55000239 62857416 73333652 78571770 91667065 104762360 110000478 125714832 146667304 157143540 183334130 209524720 220000956 275001195 293334608 314287080 366668260 440001912 550002390 628574160 733336520 880003824 1100004780 1466673040 2200009560 4400019120