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1493320 = 235371009
BaseRepresentation
bin101101100100101001000
32210212110011
411230211020
5340241240
652001304
715456463
oct5544510
92725404
101493320
1192aa54
12600234
1340392a
142ac2da
151e76ea
hex16c948

1493320 has 32 divisors (see below), whose sum is σ = 3454200. Its totient is φ = 580608.

The previous prime is 1493311. The next prime is 1493329. The reversal of 1493320 is 233941.

It is an interprime number because it is at equal distance from previous prime (1493311) and next prime (1493329).

It can be written as a sum of positive squares in 4 ways, for example, as 1331716 + 161604 = 1154^2 + 402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1493291 and 1493300.

It is not an unprimeable number, because it can be changed into a prime (1493329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976 + ... + 1984.

21493320 is an apocalyptic number.

1493320 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 1493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727100).

1493320 is an abundant number, since it is smaller than the sum of its proper divisors (1960880).

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

1493320 is a wasteful number, since it uses less digits than its factorization.

1493320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1493320 is about 1222.0147298621. The cubic root of 1493320 is about 114.3012449132.

The spelling of 1493320 in words is "one million, four hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1009 1480 2018 4036 5045 8072 10090 20180 37333 40360 74666 149332 186665 298664 373330 746660 1493320