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10099440 = 2432513283
BaseRepresentation
bin100110100001…
…101011110000
3201000002211100
4212201223300
510041140230
61000244400
7151562301
oct46415360
921002740
1010099440
11577894a
123470700
132127c00
1414ac7a8
15d47660
hex9a1af0

10099440 has 180 divisors, whose sum is σ = 37169496. Its totient is φ = 2456064.

The previous prime is 10099433. The next prime is 10099451. The reversal of 10099440 is 4499001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121639 + ... + 121721.

Almost surely, 210099440 is an apocalyptic number.

10099440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584748).

10099440 is an abundant number, since it is smaller than the sum of its proper divisors (27070056).

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

10099440 is a wasteful number, since it uses less digits than its factorization.

10099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10099440 is about 3177.9616108443. The cubic root of 10099440 is about 216.1552381985.

The spelling of 10099440 in words is "ten million, ninety-nine thousand, four hundred forty".