Search a number
-
+
2427040 = 255711197
BaseRepresentation
bin1001010000100010100000
311120022021101
421100202200
51110131130
6124004144
726425630
oct11204240
94508241
102427040
111408520
12990654
1366c925
144726c0
1532e1ca
hex2508a0

2427040 has 96 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 752640.

The previous prime is 2427001. The next prime is 2427043. The reversal of 2427040 is 407242.

It is a junction number, because it is equal to n+sod(n) for n = 2426999 and 2427017.

It is not an unprimeable number, because it can be changed into a prime (2427043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12222 + ... + 12418.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

22427040 is an apocalyptic number.

2427040 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 2427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2427040 is an abundant number, since it is smaller than the sum of its proper divisors (4757984).

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

2427040 is a wasteful number, since it uses less digits than its factorization.

2427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2427040 is about 1557.8960170692. The cubic root of 2427040 is about 134.3875319122.

It can be divided in two parts, 24270 and 40, that added together give a triangular number (24310 = T220).

The spelling of 2427040 in words is "two million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 197 220 224 280 308 352 385 394 440 560 616 770 788 880 985 1120 1232 1379 1540 1576 1760 1970 2167 2464 2758 3080 3152 3940 4334 5516 6160 6304 6895 7880 8668 10835 11032 12320 13790 15169 15760 17336 21670 22064 27580 30338 31520 34672 43340 44128 55160 60676 69344 75845 86680 110320 121352 151690 173360 220640 242704 303380 346720 485408 606760 1213520 2427040