Search a number
-
+
19174144 = 28112619
BaseRepresentation
bin100100100100…
…1001100000000
31100002010222111
41021021030000
514402033034
61522545104
7321656203
oct111111400
940063874
1019174144
11a906900
126508194
133c84562
14279193a
151a3b364
hex1249300

19174144 has 54 divisors (see below), whose sum is σ = 42137060. Its totient is φ = 8701440.

The previous prime is 19174139. The next prime is 19174153. The reversal of 19174144 is 44147191.

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 5 ways as a sum of consecutive naturals, for example, 30667 + ... + 31285.

Almost surely, 219174144 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 19174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068530).

19174144 is an abundant number, since it is smaller than the sum of its proper divisors (22962916).

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

19174144 is an equidigital number, since it uses as much as digits as its factorization.

19174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 632 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 19174144 is about 4378.8290672279. The cubic root of 19174144 is about 267.6529256306.

The spelling of 19174144 in words is "nineteen million, one hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 619 704 968 1238 1408 1936 2476 2816 3872 4952 6809 7744 9904 13618 15488 19808 27236 30976 39616 54472 74899 79232 108944 149798 158464 217888 299596 435776 599192 871552 1198384 1743104 2396768 4793536 9587072 19174144