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10099712 = 21071409
BaseRepresentation
bin100110100001…
…110000000000
3201000010012102
4212201300000
510041142322
61000245532
7151563140
oct46416000
921003172
1010099712
115779077
1234708a8
13212807c
1414ac920
15d47792
hex9a1c00

10099712 has 44 divisors (see below), whose sum is σ = 23090160. Its totient is φ = 4325376.

The previous prime is 10099703. The next prime is 10099729. The reversal of 10099712 is 21799001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6464 + ... + 7872.

Almost surely, 210099712 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 10099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545080).

10099712 is an abundant number, since it is smaller than the sum of its proper divisors (12990448).

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

10099712 is an equidigital number, since it uses as much as digits as its factorization.

10099712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 10099712 is about 3178.0044052833. The cubic root of 10099712 is about 216.1571786922.

The spelling of 10099712 in words is "ten million, ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1409 1792 2818 3584 5636 7168 9863 11272 19726 22544 39452 45088 78904 90176 157808 180352 315616 360704 631232 721408 1262464 1442816 2524928 5049856 10099712