Search a number
-
+
1349940 = 2235149151
BaseRepresentation
bin101001001100100110100
32112120202210
411021210310
5321144230
644533420
714321454
oct5114464
92476683
101349940
11842259
12551270
133835a7
14271d64
151b9eb0
hex149934

1349940 has 48 divisors (see below), whose sum is σ = 3830400. Its totient is φ = 355200.

The previous prime is 1349927. The next prime is 1349941. The reversal of 1349940 is 499431.

It is a Harshad number since it is a multiple of its sum of digits (30).

1349940 is a Rhonda number in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1349898 and 1349907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8865 + ... + 9015.

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

21349940 is an apocalyptic number.

1349940 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 1349940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200).

1349940 is an abundant number, since it is smaller than the sum of its proper divisors (2480460).

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

1349940 is a wasteful number, since it uses less digits than its factorization.

1349940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1349940 is about 1161.8691836864. The cubic root of 1349940 is about 110.5193075876.

The spelling of 1349940 in words is "one million, three hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 151 298 302 447 453 596 604 745 755 894 906 1490 1510 1788 1812 2235 2265 2980 3020 4470 4530 8940 9060 22499 44998 67497 89996 112495 134994 224990 269988 337485 449980 674970 1349940