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65130800 = 2452723323
BaseRepresentation
bin1111100001110…
…1000100110000
311112112222122212
43320131010300
5113133141200
610243551252
71420413500
oct370350460
9145488585
1065130800
1133845809
121998b528
1310655447
148915a00
155ab8035
hex3e1d130

65130800 has 90 divisors (see below), whose sum is σ = 182078748. Its totient is φ = 22323840.

The previous prime is 65130797. The next prime is 65130811. The reversal of 65130800 is 803156.

It is a super-2 number, since 2×651308002 = 8484042217280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17939 + ... + 21261.

Almost surely, 265130800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91039374).

65130800 is an abundant number, since it is smaller than the sum of its proper divisors (116947948).

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

65130800 is a wasteful number, since it uses less digits than its factorization.

65130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 65130800 is about 8070.3655431461. The cubic root of 65130800 is about 402.3420930682.

Adding to 65130800 its reverse (803156), we get a palindrome (65933956).

The spelling of 65130800 in words is "sixty-five million, one hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3323 3920 4900 6646 9800 13292 16615 19600 23261 26584 33230 46522 53168 66460 83075 93044 116305 132920 162827 166150 186088 232610 265840 325654 332300 372176 465220 581525 651308 664600 814135 930440 1163050 1302616 1329200 1628270 1860880 2326100 2605232 3256540 4070675 4652200 6513080 8141350 9304400 13026160 16282700 32565400 65130800