Search a number
-
+
2269540 = 2257132943
BaseRepresentation
bin1000101010000101100100
311021022020001
420222011210
51040111130
6120351044
725201510
oct10520544
94238201
102269540
111310159
12915484
13616030
14431140
152ec6ca
hex22a164

2269540 has 96 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 677376.

The previous prime is 2269537. The next prime is 2269601. The reversal of 2269540 is 459622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2269499 and 2269508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52759 + ... + 52801.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

22269540 is an apocalyptic number.

2269540 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 2269540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2269540 is an abundant number, since it is smaller than the sum of its proper divisors (3939740).

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

2269540 is a wasteful number, since it uses less digits than its factorization.

2269540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2269540 is about 1506.4992532358. The cubic root of 2269540 is about 131.4153049441.

It can be divided in two parts, 2269 and 540, that added together give a square (2809 = 532).

The spelling of 2269540 in words is "two million, two hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 43 52 58 65 70 86 91 116 130 140 145 172 182 203 215 260 290 301 364 377 406 430 455 559 580 602 754 812 860 910 1015 1118 1204 1247 1505 1508 1820 1885 2030 2236 2494 2639 2795 3010 3770 3913 4060 4988 5278 5590 6020 6235 7540 7826 8729 10556 11180 12470 13195 15652 16211 17458 19565 24940 26390 32422 34916 39130 43645 52780 64844 78260 81055 87290 113477 162110 174580 226954 324220 453908 567385 1134770 2269540