Search a number
-
+
1538740 = 225729379
BaseRepresentation
bin101110111101010110100
32220011202101
411313222310
5343214430
652551444
716036060
oct5675264
92804671
101538740
11961095
12622584
1341b4c8
142c0aa0
15205dca
hex177ab4

1538740 has 48 divisors (see below), whose sum is σ = 3830400. Its totient is φ = 508032.

The previous prime is 1538731. The next prime is 1538743. The reversal of 1538740 is 478351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1538699 and 1538708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871 + ... + 4249.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

21538740 is an apocalyptic number.

1538740 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 1538740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200).

1538740 is an abundant number, since it is smaller than the sum of its proper divisors (2291660).

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

1538740 is a wasteful number, since it uses less digits than its factorization.

1538740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1538740 is about 1240.4595922480. The cubic root of 1538740 is about 115.4485318808.

It can be divided in two parts, 1538 and 740, that added together give a triangular number (2278 = T67).

The spelling of 1538740 in words is "one million, five hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 379 406 580 758 812 1015 1516 1895 2030 2653 3790 4060 5306 7580 10612 10991 13265 21982 26530 43964 53060 54955 76937 109910 153874 219820 307748 384685 769370 1538740