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99480 = 2335829
BaseRepresentation
bin11000010010011000
312001110110
4120102120
511140410
62044320
7563013
oct302230
9161413
1099480
1168817
12496a0
1336384
142837a
151e720
hex18498

99480 has 32 divisors (see below), whose sum is σ = 298800. Its totient is φ = 26496.

The previous prime is 99469. The next prime is 99487. The reversal of 99480 is 8499.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99480.

It is not an unprimeable number, because it can be changed into a prime (99487) by changing a digit.

99480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 534.

299480 is an apocalyptic number.

It is an amenable number.

99480 is an abundant number, since it is smaller than the sum of its proper divisors (199320).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149400).

99480 is a wasteful number, since it uses less digits than its factorization.

99480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

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

The square root of 99480 is about 315.4045021873. The cubic root of 99480 is about 46.3352942715.

The spelling of 99480 in words is "ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 829 1658 2487 3316 4145 4974 6632 8290 9948 12435 16580 19896 24870 33160 49740 99480