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99916236 = 22327537481
BaseRepresentation
bin1011111010010…
…01100111001100
320222000021022100
411331021213030
5201034304421
613525315100
72322162660
oct575114714
9228007270
1099916236
1151444602
1229565a90
1317914644
14d3ac8a0
158b89c26
hex5f499cc

99916236 has 72 divisors (see below), whose sum is σ = 294132384. Its totient is φ = 28005120.

The previous prime is 99916217. The next prime is 99916237. The reversal of 99916236 is 63261999.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99916191 and 99916200.

It is not an unprimeable number, because it can be changed into a prime (99916237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9616 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (4085172).

Almost surely, 299916236 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 99916236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147066192).

99916236 is an abundant number, since it is smaller than the sum of its proper divisors (194216148).

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

99916236 is a wasteful number, since it uses less digits than its factorization.

99916236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7546 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 99916236 is about 9995.8109225815. The cubic root of 99916236 is about 464.0292478095.

The spelling of 99916236 in words is "ninety-nine million, nine hundred sixteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 7481 13356 14962 22443 29924 44886 52367 67329 89772 104734 134658 157101 209468 269316 314202 396493 471303 628404 792986 942606 1189479 1585972 1885212 2378958 2775451 3568437 4757916 5550902 7136874 8326353 11101804 14273748 16652706 24979059 33305412 49958118 99916236