Search a number
-
+
19147072 = 26779541
BaseRepresentation
bin100100100001…
…0100101000000
31100000202211211
41021002211000
514400201242
61522215504
7321514240
oct111024500
940022754
1019147072
11a89852a
1264b4594
133c75139
142785b20
151a33317
hex1242940

19147072 has 56 divisors (see below), whose sum is σ = 44053760. Its totient is φ = 8087040.

The previous prime is 19147069. The next prime is 19147099. The reversal of 19147072 is 27074191.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×191470722 = 733220732346368, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 35122 + ... + 35662.

Almost surely, 219147072 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 19147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026880).

19147072 is an abundant number, since it is smaller than the sum of its proper divisors (24906688).

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

19147072 is an equidigital number, since it uses as much as digits as its factorization.

19147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 19147072 is about 4375.7367379677. The cubic root of 19147072 is about 267.5268997900.

The spelling of 19147072 in words is "nineteen million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 541 553 632 1082 1106 1264 2164 2212 2528 3787 4328 4424 5056 7574 8656 8848 15148 17312 17696 30296 34624 35392 42739 60592 85478 121184 170956 242368 299173 341912 598346 683824 1196692 1367648 2393384 2735296 4786768 9573536 19147072