Search a number
-
+
1406340 = 2232513601
BaseRepresentation
bin101010111010110000100
32122110010200
411113112010
5330000330
650050500
714645055
oct5272604
92573120
101406340
11880671
12579a30
133a3170
1428872c
151cba60
hex157584

1406340 has 72 divisors (see below), whose sum is σ = 4601688. Its totient is φ = 345600.

The previous prime is 1406311. The next prime is 1406351. The reversal of 1406340 is 436041.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 1272384 = 366^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2040 + ... + 2640.

21406340 is an apocalyptic number.

1406340 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 1406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300844).

1406340 is an abundant number, since it is smaller than the sum of its proper divisors (3195348).

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

1406340 is a wasteful number, since it uses less digits than its factorization.

1406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1406340 is about 1185.8920692879. The cubic root of 1406340 is about 112.0375086955.

Subtracting from 1406340 its reverse (436041), we obtain a cube (970299 = 993).

The spelling of 1406340 in words is "one million, four hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 601 780 1170 1202 1803 2340 2404 3005 3606 5409 6010 7212 7813 9015 10818 12020 15626 18030 21636 23439 27045 31252 36060 39065 46878 54090 70317 78130 93756 108180 117195 140634 156260 234390 281268 351585 468780 703170 1406340