Search a number
-
+
1901840 = 24523773
BaseRepresentation
bin111010000010100010000
310120121211112
413100110100
5441324330
6104432452
722110503
oct7202420
93517745
101901840
111089976
12778728
13517865
1437713a
15278795
hex1d0510

1901840 has 20 divisors (see below), whose sum is σ = 4421964. Its totient is φ = 760704.

The previous prime is 1901839. The next prime is 1901857. The reversal of 1901840 is 481091.

It can be written as a sum of positive squares in 2 ways, for example, as 565504 + 1336336 = 752^2 + 1156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 11807 + ... + 11966.

21901840 is an apocalyptic number.

1901840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1901840 is an abundant number, since it is smaller than the sum of its proper divisors (2520124).

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

1901840 is a wasteful number, since it uses less digits than its factorization.

1901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1901840 is about 1379.0721518470. The cubic root of 1901840 is about 123.8962017248.

The spelling of 1901840 in words is "one million, nine hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 23773 47546 95092 118865 190184 237730 380368 475460 950920 1901840