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99440640 = 2113251383
BaseRepresentation
bin1011110110101…
…01100000000000
320221010002220200
411323111200000
5200424100030
613511205200
72315142255
oct573254000
9227102820
1099440640
115114a252
1229376800
13177a9020
14d2c742c
158ae3d60
hex5ed5800

99440640 has 288 divisors, whose sum is σ = 375626160. Its totient is φ = 24182784.

The previous prime is 99440609. The next prime is 99440641. The reversal of 99440640 is 4604499.

99440640 is a `hidden beast` number, since 9 + 9 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 99440595 and 99440604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99440641) 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 23 ways as a sum of consecutive naturals, for example, 1198039 + ... + 1198121.

Almost surely, 299440640 is an apocalyptic number.

99440640 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 99440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187813080).

99440640 is an abundant number, since it is smaller than the sum of its proper divisors (276185520).

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

99440640 is a wasteful number, since it uses less digits than its factorization.

99440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 99440640 is about 9971.9927797808. The cubic root of 99440640 is about 463.2918249768.

The spelling of 99440640 in words is "ninety-nine million, four hundred forty thousand, six hundred forty".