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283137680 = 2457272229
BaseRepresentation
bin10000111000000…
…101011010010000
3201201202212212202
4100320011122100
51034440401210
644032342332
710005426200
oct2070053220
9651685782
10283137680
11135907591
127a9a49a8
13468758b7
1429864400
1519ccc9a5
hex10e05690

283137680 has 60 divisors (see below), whose sum is σ = 765782460. Its totient is φ = 97074432.

The previous prime is 283137649. The next prime is 283137709. The reversal of 283137680 is 86731382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68690944 + 214446736 = 8288^2 + 14644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32195 + ... + 40034.

It is an arithmetic number, because the mean of its divisors is an integer number (12763041).

Almost surely, 2283137680 is an apocalyptic number.

283137680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283137680 is an abundant number, since it is smaller than the sum of its proper divisors (482644780).

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

283137680 is a wasteful number, since it uses less digits than its factorization.

283137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72256 (or 72243 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 283137680 is about 16826.6954569220. The cubic root of 283137680 is about 656.6478949974.

The spelling of 283137680 in words is "two hundred eighty-three million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 72229 144458 288916 361145 505603 577832 722290 1011206 1155664 1444580 2022412 2528015 2889160 3539221 4044824 5056030 5778320 7078442 8089648 10112060 14156884 17696105 20224120 28313768 35392210 40448240 56627536 70784420 141568840 283137680