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99728736 = 2532331247
BaseRepresentation
bin1011111000110…
…11110101100000
320221122202002220
411330123311200
5201012304421
613521311040
72320452222
oct574336540
9227582086
1099728736
1151326748
1229495480
131787a1b3
14d360412
158b4e3c6
hex5f1bd60

99728736 has 144 divisors (see below), whose sum is σ = 288271872. Its totient is φ = 30117120.

The previous prime is 99728729. The next prime is 99728743. The reversal of 99728736 is 63782799.

It is an interprime number because it is at equal distance from previous prime (99728729) and next prime (99728743).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2121865 + ... + 2121911.

It is an arithmetic number, because the mean of its divisors is an integer number (2001888).

Almost surely, 299728736 is an apocalyptic number.

99728736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

99728736 is the 5766-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144135936).

99728736 is an abundant number, since it is smaller than the sum of its proper divisors (188543136).

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

99728736 is a wasteful number, since it uses less digits than its factorization.

99728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 99728736 is about 9986.4275894836. The cubic root of 99728736 is about 463.7388046401.

The spelling of 99728736 in words is "ninety-nine million, seven hundred twenty-eight thousand, seven hundred thirty-six".