Search a number
-
+
1914920 = 23572977
BaseRepresentation
bin111010011100000101000
310121021202222
413103200220
5442234140
6105013212
722163600
oct7234050
93537688
101914920
111098787
12784208
135207b7
1437bc00
1527c5b5
hex1d3828

1914920 has 48 divisors (see below), whose sum is σ = 5017140. Its totient is φ = 655872.

The previous prime is 1914889. The next prime is 1914923. The reversal of 1914920 is 294191.

It can be written as a sum of positive squares in 2 ways, for example, as 1844164 + 70756 = 1358^2 + 266^2 .

It is a super-3 number, since 3×19149203 = 21065567333302464000, which contains 333 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1914920.

It is not an unprimeable number, because it can be changed into a prime (1914923) 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, 1472 + ... + 2448.

21914920 is an apocalyptic number.

1914920 is a gapful number since it is divisible by the number (10) 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 1914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508570).

1914920 is an abundant number, since it is smaller than the sum of its proper divisors (3102220).

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

1914920 is a wasteful number, since it uses less digits than its factorization.

1914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1914920 is about 1383.8063448330. The cubic root of 1914920 is about 124.1795871625.

The spelling of 1914920 in words is "one million, nine hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 977 980 1954 1960 3908 4885 6839 7816 9770 13678 19540 27356 34195 39080 47873 54712 68390 95746 136780 191492 239365 273560 382984 478730 957460 1914920