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99760144 = 241122272
BaseRepresentation
bin1011111001000…
…11100000010000
320221201100012011
411330203200100
5201014311034
613522112304
72320642621
oct574434020
9227640164
1099760144
1151348300
12294ab694
131788b593
14d36ba48
158b58864
hex5f23810

99760144 has 45 divisors (see below), whose sum is σ = 213394111. Its totient is φ = 45145760.

The previous prime is 99760123. The next prime is 99760147. The reversal of 99760144 is 44106799.

It is a happy number.

The square root of 99760144 is 9988.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99760097 and 99760106.

It is not an unprimeable number, because it can be changed into a prime (99760147) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 439359 + ... + 439585.

Almost surely, 299760144 is an apocalyptic number.

99760144 is the 9988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99760144

99760144 is an abundant number, since it is smaller than the sum of its proper divisors (113633967).

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

99760144 is a wasteful number, since it uses less digits than its factorization.

99760144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 99760144 is about 463.7874819495.

The spelling of 99760144 in words is "ninety-nine million, seven hundred sixty thousand, one hundred forty-four".