Search a number
-
+
1919148 = 2237113167
BaseRepresentation
bin111010100100010101100
310121111120120
413110202230
5442403043
6105044540
722212120
oct7244254
93544516
101919148
1110a0980
12786750
135226ba
1437d580
1527d983
hex1d48ac

1919148 has 96 divisors (see below), whose sum is σ = 5849088. Its totient is φ = 475200.

The previous prime is 1919123. The next prime is 1919149. The reversal of 1919148 is 8419191.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1919149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28611 + ... + 28677.

It is an arithmetic number, because the mean of its divisors is an integer number (60928).

21919148 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 1919148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924544).

1919148 is an abundant number, since it is smaller than the sum of its proper divisors (3929940).

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

1919148 is a wasteful number, since it uses less digits than its factorization.

1919148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 1919148 is about 1385.3331729227. Note that the first 3 decimals coincide. The cubic root of 1919148 is about 124.2709130591.

It can be divided in two parts, 191 and 9148, that added together give a palindrome (9339).

The spelling of 1919148 in words is "one million, nine hundred nineteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 67 77 84 93 124 132 134 154 186 201 217 231 268 308 341 372 402 434 462 469 651 682 737 804 868 924 938 1023 1302 1364 1407 1474 1876 2046 2077 2211 2387 2604 2814 2948 4092 4154 4422 4774 5159 5628 6231 7161 8308 8844 9548 10318 12462 14322 14539 15477 20636 22847 24924 28644 29078 30954 43617 45694 58156 61908 68541 87234 91388 137082 159929 174468 274164 319858 479787 639716 959574 1919148