Search a number
-
+
1915164 = 223423257
BaseRepresentation
bin111010011100100011100
310121022010000
413103210130
5442241124
6105014300
722164366
oct7234434
93538100
101915164
111098989
12784390
13520944
1437bd36
1527c6c9
hex1d391c

1915164 has 60 divisors (see below), whose sum is σ = 5244624. Its totient is φ = 608256.

The previous prime is 1915163. The next prime is 1915183. The reversal of 1915164 is 4615191.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915163) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7324 + ... + 7580.

21915164 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 1915164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622312).

1915164 is an abundant number, since it is smaller than the sum of its proper divisors (3329460).

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

1915164 is a wasteful number, since it uses less digits than its factorization.

1915164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 1915164 is about 1383.8945046498. The cubic root of 1915164 is about 124.1848612788.

Adding to 1915164 its sum of digits (27), we get a palindrome (1915191).

The spelling of 1915164 in words is "one million, nine hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 257 276 324 414 514 621 771 828 1028 1242 1542 1863 2313 2484 3084 3726 4626 5911 6939 7452 9252 11822 13878 17733 20817 23644 27756 35466 41634 53199 70932 83268 106398 159597 212796 319194 478791 638388 957582 1915164