Search a number
-
+
2287740 = 2235713419
BaseRepresentation
bin1000101110100001111100
311022020012010
420232201330
51041201430
6121011220
725305540
oct10564174
94266163
102287740
1113228a4
12923b10
136213c0
14437a20
15302cb0
hex22e87c

2287740 has 96 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 481536.

The previous prime is 2287739. The next prime is 2287777. The reversal of 2287740 is 477822.

2287740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2287698 and 2287707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251 + ... + 5669.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

22287740 is an apocalyptic number.

2287740 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 2287740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2287740 is an abundant number, since it is smaller than the sum of its proper divisors (5614980).

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

2287740 is a wasteful number, since it uses less digits than its factorization.

2287740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2287740 is about 1512.5276856970. The cubic root of 2287740 is about 131.7656539892.

The spelling of 2287740 in words is "two million, two hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 419 420 455 546 780 838 910 1092 1257 1365 1676 1820 2095 2514 2730 2933 4190 5028 5447 5460 5866 6285 8380 8799 10894 11732 12570 14665 16341 17598 21788 25140 27235 29330 32682 35196 38129 43995 54470 58660 65364 76258 81705 87990 108940 114387 152516 163410 175980 190645 228774 326820 381290 457548 571935 762580 1143870 2287740