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99360 = 2533523
BaseRepresentation
bin11000010000100000
312001022000
4120100200
511134420
62044000
7562452
oct302040
9161260
1099360
1168718
1249600
13362c1
14282d2
151e690
hex18420

99360 has 96 divisors (see below), whose sum is σ = 362880. Its totient is φ = 25344.

The previous prime is 99349. The next prime is 99367. The reversal of 99360 is 6399.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (99367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4309 + ... + 4331.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

299360 is an apocalyptic number.

99360 is a gapful number since it is divisible by the number (90) 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 99360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

99360 is an abundant number, since it is smaller than the sum of its proper divisors (263520).

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

99360 is a wasteful number, since it uses less digits than its factorization.

99360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99360 is about 315.2142128775. The cubic root of 99360 is about 46.3166557762.

The spelling of 99360 in words is "ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 69 72 80 90 92 96 108 115 120 135 138 144 160 180 184 207 216 230 240 270 276 288 345 360 368 414 432 460 480 540 552 621 690 720 736 828 864 920 1035 1080 1104 1242 1380 1440 1656 1840 2070 2160 2208 2484 2760 3105 3312 3680 4140 4320 4968 5520 6210 6624 8280 9936 11040 12420 16560 19872 24840 33120 49680 99360