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283080072 = 233114126153
BaseRepresentation
bin10000110111110…
…111010110001000
3201201122221212010
4100313313112020
51034432030242
644031215520
710005066222
oct2067672610
9651587763
10283080072
11135878280
127a9775a0
1346855602
142984b412
1519cba89c
hex10df7588

283080072 has 64 divisors (see below), whose sum is σ = 790896960. Its totient is φ = 83686400.

The previous prime is 283080043. The next prime is 283080097. The reversal of 283080072 is 270080382.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253 + ... + 23900.

It is an arithmetic number, because the mean of its divisors is an integer number (12357765).

Almost surely, 2283080072 is an apocalyptic number.

283080072 is a gapful number since it is divisible by the number (22) 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 283080072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395448480).

283080072 is an abundant number, since it is smaller than the sum of its proper divisors (507816888).

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

283080072 is a wasteful number, since it uses less digits than its factorization.

283080072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214 (or 26210 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 283080072 is about 16824.9835661138. The cubic root of 283080072 is about 656.6033574921.

The spelling of 283080072 in words is "two hundred eighty-three million, eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 26153 52306 78459 104612 156918 209224 287683 313836 575366 627672 863049 1072273 1150732 1726098 2144546 2301464 3216819 3452196 4289092 6433638 6904392 8578184 11795003 12867276 23590006 25734552 35385009 47180012 70770018 94360024 141540036 283080072