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285446140 = 22573189739
BaseRepresentation
bin10001000000111…
…000111111111100
3201220010011111021
4101000320333330
51041033234030
644154033524
710034152330
oct2100707774
9656104437
10285446140
11137143a01
127b7188a4
13471a3555
1429ca57c0
151a0d697a
hex11038ffc

285446140 has 96 divisors (see below), whose sum is σ = 716083200. Its totient is φ = 93519360.

The previous prime is 285446131. The next prime is 285446143. The reversal of 285446140 is 41644582.

It is a junction number, because it is equal to n+sod(n) for n = 285446096 and 285446105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285446143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385891 + ... + 386629.

It is an arithmetic number, because the mean of its divisors is an integer number (7459200).

Almost surely, 2285446140 is an apocalyptic number.

285446140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285446140 is the 13795-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358041600).

285446140 is an abundant number, since it is smaller than the sum of its proper divisors (430637060).

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

285446140 is a wasteful number, since it uses less digits than its factorization.

285446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 285446140 is about 16895.1513754686. The cubic root of 285446140 is about 658.4276467276.

The spelling of 285446140 in words is "two hundred eighty-five million, four hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 89 124 140 155 178 217 310 356 434 445 620 623 739 868 890 1085 1246 1478 1780 2170 2492 2759 2956 3115 3695 4340 5173 5518 6230 7390 10346 11036 12460 13795 14780 19313 20692 22909 25865 27590 38626 45818 51730 55180 65771 77252 91636 96565 103460 114545 131542 160363 193130 229090 263084 320726 328855 386260 458180 460397 641452 657710 801815 920794 1315420 1603630 1841588 2038901 2301985 3207260 4077802 4603970 8155604 9207940 10194505 14272307 20389010 28544614 40778020 57089228 71361535 142723070 285446140