Search a number
-
+
28069440 = 263574177
BaseRepresentation
bin110101100010…
…0111001000000
31221211002000220
41223010321000
524141210230
62441343040
7460405050
oct153047100
957732026
1028069440
1114931a93
129497a80
135a7a349
143a29560
1526e6d10
hex1ac4e40

28069440 has 112 divisors (see below), whose sum is σ = 101876352. Its totient is φ = 6414336.

The previous prime is 28069439. The next prime is 28069451. The reversal of 28069440 is 4496082.

It is a tau number, because it is divible by the number of its divisors (112).

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, 4632 + ... + 8808.

Almost surely, 228069440 is an apocalyptic number.

28069440 is a gapful number since it is divisible by the number (20) 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 28069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50938176).

28069440 is an abundant number, since it is smaller than the sum of its proper divisors (73806912).

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

28069440 is a wasteful number, since it uses less digits than its factorization.

28069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28069440 is about 5298.0600223101. The cubic root of 28069440 is about 303.9097146476.

It can be divided in two parts, 2806 and 9440, that added together give a triangular number (12246 = T156).

The spelling of 28069440 in words is "twenty-eight million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 4177 6720 8354 12531 16708 20885 25062 29239 33416 41770 50124 58478 62655 66832 83540 87717 100248 116956 125310 133664 146195 167080 175434 200496 233912 250620 267328 292390 334160 350868 400992 438585 467824 501240 584780 668320 701736 801984 877170 935648 1002480 1169560 1336640 1403472 1754340 1871296 2004960 2339120 2806944 3508680 4009920 4678240 5613888 7017360 9356480 14034720 28069440