Search a number
-
+
285806640 = 24357170123
BaseRepresentation
bin10001000010010…
…001000000110000
3201220210111000010
4101002101000300
51041131303030
644205454520
710040213340
oct2102210060
9656714003
10285806640
1113736a839
127b871440
134729b672
1429d5ad20
151a1586b0
hex11091030

285806640 has 80 divisors (see below), whose sum is σ = 1012578048. Its totient is φ = 65326848.

The previous prime is 285806623. The next prime is 285806641. The reversal of 285806640 is 46608582.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (285806641) 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 15 ways as a sum of consecutive naturals, for example, 83382 + ... + 86741.

Almost surely, 2285806640 is an apocalyptic number.

285806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285806640 is an abundant number, since it is smaller than the sum of its proper divisors (726771408).

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

285806640 is a wasteful number, since it uses less digits than its factorization.

285806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170146 (or 170140 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 285806640 is about 16905.8167504560. The cubic root of 285806640 is about 658.7047139552.

The spelling of 285806640 in words is "two hundred eighty-five million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 170123 340246 510369 680492 850615 1020738 1190861 1360984 1701230 2041476 2381722 2551845 2721968 3402460 3572583 4082952 4763444 5103690 5954305 6804920 7145166 8165904 9526888 10207380 11908610 13609840 14290332 17862915 19053776 20414760 23817220 28580664 35725830 40829520 47634440 57161328 71451660 95268880 142903320 285806640