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287040 = 26351323
BaseRepresentation
bin1000110000101000000
3112120202010
41012011000
533141130
610052520
72303565
oct1060500
9476663
10287040
11186726
1211a140
13a0860
147686c
155a0b0
hex46140

287040 has 112 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 67584.

The previous prime is 287003. The next prime is 287047. The reversal of 287040 is 40782.

It is a happy number.

287040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 286998 and 287016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287047) by changing a digit.

287040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12469 + ... + 12491.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2287040 is an apocalyptic number.

287040 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 287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

287040 is an abundant number, since it is smaller than the sum of its proper divisors (737088).

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

287040 is a wasteful number, since it uses less digits than its factorization.

287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 287040 is about 535.7611408081. The cubic root of 287040 is about 65.9650871364.

The spelling of 287040 in words is "two hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 130 138 156 160 184 192 195 208 230 240 260 276 299 312 320 345 368 390 416 460 480 520 552 598 624 690 736 780 832 897 920 960 1040 1104 1196 1248 1380 1472 1495 1560 1794 1840 2080 2208 2392 2496 2760 2990 3120 3588 3680 4160 4416 4485 4784 5520 5980 6240 7176 7360 8970 9568 11040 11960 12480 14352 17940 19136 22080 23920 28704 35880 47840 57408 71760 95680 143520 287040