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19099872 = 2532116029
BaseRepresentation
bin100100011011…
…1000011100000
31022221101002200
41020313003200
514342143442
61521213200
7321226521
oct110670340
938841080
1019099872
11a866020
126491200
133c597cc
142772848
151a2434c
hex12370e0

19099872 has 72 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 5786880.

The previous prime is 19099853. The next prime is 19099879. The reversal of 19099872 is 27899091.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×190998722 = 729610220832768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19099879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154 + ... + 6182.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 219099872 is an apocalyptic number.

19099872 is a gapful number since it is divisible by the number (12) 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 19099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).

19099872 is an abundant number, since it is smaller than the sum of its proper divisors (40162968).

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

19099872 is a wasteful number, since it uses less digits than its factorization.

19099872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 19099872 is about 4370.3400325375. The cubic root of 19099872 is about 267.3068894780.

It can be divided in two parts, 1909 and 9872, that added together give a triangular number (11781 = T153).

The spelling of 19099872 in words is "nineteen million, ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6029 12058 18087 24116 36174 48232 54261 66319 72348 96464 108522 132638 144696 192928 198957 217044 265276 289392 397914 434088 530552 578784 596871 795828 868176 1061104 1193742 1591656 1736352 2122208 2387484 3183312 4774968 6366624 9549936 19099872