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99330480 = 243251953137
BaseRepresentation
bin1011110101110…
…10100110110000
320220220111210200
411322322212300
5200412033410
613504555200
72314203144
oct572724660
9226814720
1099330480
1151084507
1229322b00
131776ab42
14d299224
158ac13c0
hex5eba9b0

99330480 has 240 divisors, whose sum is σ = 360378720. Its totient is φ = 24440832.

The previous prime is 99330401. The next prime is 99330487. The reversal of 99330480 is 8403399.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99330487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724972 + ... + 725108.

It is an arithmetic number, because the mean of its divisors is an integer number (1501578).

Almost surely, 299330480 is an apocalyptic number.

99330480 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 99330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180189360).

99330480 is an abundant number, since it is smaller than the sum of its proper divisors (261048240).

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

99330480 is a wasteful number, since it uses less digits than its factorization.

99330480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99330480 is about 9966.4677795094. The cubic root of 99330480 is about 463.1206840665.

It can be divided in two parts, 9 and 9330480, that multiplied together give a triangular number (83974320 = T12959).

The spelling of 99330480 in words is "ninety-nine million, three hundred thirty thousand, four hundred eighty".