Search a number
-
+
2275840 = 2957127
BaseRepresentation
bin1000101011101000000000
311021121212101
420223220000
51040311330
6120440144
725226050
oct10535000
94247771
102275840
111314966
12919054
13618b68
14433560
152ee4ca
hex22ba00

2275840 has 80 divisors (see below), whose sum is σ = 6285312. Its totient is φ = 774144.

The previous prime is 2275837. The next prime is 2275843. The reversal of 2275840 is 485722.

It is an interprime number because it is at equal distance from previous prime (2275837) and next prime (2275843).

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 2275799 and 2275808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17857 + ... + 17983.

22275840 is an apocalyptic number.

2275840 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 2275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656).

2275840 is an abundant number, since it is smaller than the sum of its proper divisors (4009472).

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

2275840 is an equidigital number, since it uses as much as digits as its factorization.

2275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2275840 is about 1508.5887444894. The cubic root of 2275840 is about 131.5367908739.

The spelling of 2275840 in words is "two million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 256 280 320 448 508 512 560 635 640 889 896 1016 1120 1270 1280 1778 1792 2032 2240 2540 2560 3556 3584 4064 4445 4480 5080 7112 8128 8890 8960 10160 14224 16256 17780 17920 20320 28448 32512 35560 40640 56896 65024 71120 81280 113792 142240 162560 227584 284480 325120 455168 568960 1137920 2275840