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99746640 = 243557733
BaseRepresentation
bin1011111001000…
…00001101010000
320221200122200000
411330200031100
5201013343030
613521530000
72320555350
oct574401520
9227618600
1099746640
1151339144
12294a3900
13178853a6
14d366b60
158b54860
hex5f20350

99746640 has 240 divisors, whose sum is σ = 397557888. Its totient is φ = 22768128.

The previous prime is 99746629. The next prime is 99746641. The reversal of 99746640 is 4664799.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99746641) 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 47 ways as a sum of consecutive naturals, for example, 135714 + ... + 136446.

Almost surely, 299746640 is an apocalyptic number.

99746640 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 99746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198778944).

99746640 is an abundant number, since it is smaller than the sum of its proper divisors (297811248).

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

99746640 is a wasteful number, since it uses less digits than its factorization.

99746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 99746640 is about 9987.3239659080. The cubic root of 99746640 is about 463.7665541905.

The spelling of 99746640 in words is "ninety-nine million, seven hundred forty-six thousand, six hundred forty".