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99732480 = 2103543151
BaseRepresentation
bin1011111000111…
…00110000000000
320221122221020120
411330130300000
5201012414410
613521340240
72320466151
oct574346000
9227587216
1099732480
1151329541
1229497680
131787bb03
14d361928
158b50570
hex5f1cc00

99732480 has 176 divisors, whose sum is σ = 328568064. Its totient is φ = 25804800.

The previous prime is 99732461. The next prime is 99732491. The reversal of 99732480 is 8423799.

99732480 = T88 + T89 + ... + T842.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 660405 + ... + 660555.

It is an arithmetic number, because the mean of its divisors is an integer number (1866864).

Almost surely, 299732480 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 99732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164284032).

99732480 is an abundant number, since it is smaller than the sum of its proper divisors (228835584).

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

99732480 is a wasteful number, since it uses less digits than its factorization.

99732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 99732480 is about 9986.6150421452. The cubic root of 99732480 is about 463.7446077698.

The spelling of 99732480 in words is "ninety-nine million, seven hundred thirty-two thousand, four hundred eighty".