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99995360 = 2551797379
BaseRepresentation
bin1011111010111…
…00111011100000
320222011021211212
411331130323200
5201044322420
613531125252
72322642443
oct575347340
9228137755
1099995360
1151498aa3
12295a3828
131794166a
14d3cd65a
158ba33c5
hex5f5cee0

99995360 has 96 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 37158912.

The previous prime is 99995317. The next prime is 99995407. The reversal of 99995360 is 6359999.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 99995299 and 99995308.

It is a congruent number.

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, 263651 + ... + 264029.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 299995360 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 99995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

99995360 is an abundant number, since it is smaller than the sum of its proper divisors (153385600).

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

99995360 is a wasteful number, since it uses less digits than its factorization.

99995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 50.

The square root of 99995360 is about 9999.7679973087. The cubic root of 99995360 is about 464.1517042595.

The spelling of 99995360 in words is "ninety-nine million, nine hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 97 136 160 170 194 272 340 379 388 485 544 680 758 776 970 1360 1516 1552 1649 1895 1940 2720 3032 3104 3298 3790 3880 6064 6443 6596 7580 7760 8245 12128 12886 13192 15160 15520 16490 25772 26384 30320 32215 32980 36763 51544 52768 60640 64430 65960 73526 103088 128860 131920 147052 183815 206176 257720 263840 294104 367630 515440 588208 624971 735260 1030880 1176416 1249942 1470520 2499884 2941040 3124855 4999768 5882080 6249710 9999536 12499420 19999072 24998840 49997680 99995360