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99672768 = 2635131729
BaseRepresentation
bin1011111000011…
…10001011000000
320221112220100000
411330032023000
5201004012033
613520200000
72320130106
oct574161300
9227486300
1099672768
1151298698
1229469000
131785a890
14d347c76
158b3ca13
hex5f0e2c0

99672768 has 336 divisors, whose sum is σ = 349483680. Its totient is φ = 27869184.

The previous prime is 99672767. The next prime is 99672773. The reversal of 99672768 is 86727699.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2286144) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (99672767) 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, 3436978 + ... + 3437006.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 299672768 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 99672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

99672768 is an abundant number, since it is smaller than the sum of its proper divisors (249810912).

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

99672768 is a wasteful number, since it uses less digits than its factorization.

99672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 99672768 is about 9983.6249929572. The cubic root of 99672768 is about 463.6520379728.

The spelling of 99672768 in words is "ninety-nine million, six hundred seventy-two thousand, seven hundred sixty-eight".