Search a number
-
+
1240320 = 28351719
BaseRepresentation
bin100101110110100000000
32100000101210
410232310000
5304142240
642330120
713354044
oct4566400
92300353
101240320
11777964
124b9940
13345723
14244024
15197780
hex12ed00

1240320 has 144 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 294912.

The previous prime is 1240319. The next prime is 1240333. The reversal of 1240320 is 230421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1240296 and 1240305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65271 + ... + 65289.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

21240320 is an apocalyptic number.

1240320 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 1240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

1240320 is an abundant number, since it is smaller than the sum of its proper divisors (3174720).

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

1240320 is a wasteful number, since it uses less digits than its factorization.

1240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1240320 is about 1113.6965475389. The cubic root of 1240320 is about 107.4429479132.

Adding to 1240320 its reverse (230421), we get a palindrome (1470741).

The spelling of 1240320 in words is "one million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 32 34 38 40 48 51 57 60 64 68 76 80 85 95 96 102 114 120 128 136 152 160 170 190 192 204 228 240 255 256 272 285 304 320 323 340 380 384 408 456 480 510 544 570 608 640 646 680 760 768 816 912 960 969 1020 1088 1140 1216 1280 1292 1360 1520 1615 1632 1824 1920 1938 2040 2176 2280 2432 2584 2720 3040 3230 3264 3648 3840 3876 4080 4352 4560 4845 4864 5168 5440 6080 6460 6528 7296 7752 8160 9120 9690 10336 10880 12160 12920 13056 14592 15504 16320 18240 19380 20672 21760 24320 25840 31008 32640 36480 38760 41344 51680 62016 65280 72960 77520 82688 103360 124032 155040 206720 248064 310080 413440 620160 1240320