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10099872 = 253235069
BaseRepresentation
bin100110100001…
…110010100000
3201000010102100
4212201302200
510041143442
61000250400
7151563456
oct46416240
921003370
1010099872
115779202
123470a00
132128173
1414ac9d6
15d4784c
hex9a1ca0

10099872 has 36 divisors (see below), whose sum is σ = 28722330. Its totient is φ = 3366528.

The previous prime is 10099867. The next prime is 10099891. The reversal of 10099872 is 27899001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5588496 + 4511376 = 2364^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17247 + ... + 17822.

Almost surely, 210099872 is an apocalyptic number.

10099872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10099872 is an abundant number, since it is smaller than the sum of its proper divisors (18622458).

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

10099872 is a wasteful number, since it uses less digits than its factorization.

10099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35085 (or 35074 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10099872 is about 3178.0295782135. The cubic root of 10099872 is about 216.1583201427.

The spelling of 10099872 in words is "ten million, ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35069 70138 105207 140276 210414 280552 315621 420828 561104 631242 841656 1122208 1262484 1683312 2524968 3366624 5049936 10099872