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99000480 = 2535206251
BaseRepresentation
bin1011110011010…
…10000010100000
320220021202010110
411321222002200
5200321003410
613453531320
72311330065
oct571520240
9226252113
1099000480
1150979587
12291a3b40
1317683887
14d210c6c
158a58720
hex5e6a0a0

99000480 has 48 divisors (see below), whose sum is σ = 311853024. Its totient is φ = 26400000.

The previous prime is 99000479. The next prime is 99000511. The reversal of 99000480 is 8400099.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102646 + ... + 103605.

It is an arithmetic number, because the mean of its divisors is an integer number (6496938).

Almost surely, 299000480 is an apocalyptic number.

It is an amenable number.

99000480 is an abundant number, since it is smaller than the sum of its proper divisors (212852544).

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

99000480 is a wasteful number, since it uses less digits than its factorization.

99000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206269 (or 206261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 99000480 is about 9949.8984919445. The cubic root of 99000480 is about 462.6072485639.

The spelling of 99000480 in words is "ninety-nine million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 206251 412502 618753 825004 1031255 1237506 1650008 2062510 2475012 3093765 3300016 4125020 4950024 6187530 6600032 8250040 9900048 12375060 16500080 19800096 24750120 33000160 49500240 99000480