Search a number
-
+
1493640 = 23345461
BaseRepresentation
bin101101100101010001000
32210212220000
411230222020
5340244030
652003000
715460431
oct5545210
92725800
101493640
11930215
12600460
13403b15
142ac488
151e7860
hex16ca88

1493640 has 80 divisors (see below), whose sum is σ = 5031180. Its totient is φ = 397440.

The previous prime is 1493633. The next prime is 1493641. The reversal of 1493640 is 463941.

1493640 is a `hidden beast` number, since 14 + 9 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 39204 = 1206^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1493641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3010 + ... + 3470.

21493640 is an apocalyptic number.

1493640 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 1493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515590).

1493640 is an abundant number, since it is smaller than the sum of its proper divisors (3537540).

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

1493640 is a wasteful number, since it uses less digits than its factorization.

1493640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1493640 is about 1222.1456541673. The cubic root of 1493640 is about 114.3094087776.

The spelling of 1493640 in words is "one million, four hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 461 540 648 810 922 1080 1383 1620 1844 2305 2766 3240 3688 4149 4610 5532 6915 8298 9220 11064 12447 13830 16596 18440 20745 24894 27660 33192 37341 41490 49788 55320 62235 74682 82980 99576 124470 149364 165960 186705 248940 298728 373410 497880 746820 1493640