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1244400 = 243521761
BaseRepresentation
bin100101111110011110000
32100012222220
410233303300
5304310100
642401040
713401663
oct4576360
92305886
101244400
1177aa33
12500180
13347541
142456da
15198aa0
hex12fcf0

1244400 has 120 divisors (see below), whose sum is σ = 4289904. Its totient is φ = 307200.

The previous prime is 1244393. The next prime is 1244401. The reversal of 1244400 is 44421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1244400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20370 + ... + 20430.

21244400 is an apocalyptic number.

1244400 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 1244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144952).

1244400 is an abundant number, since it is smaller than the sum of its proper divisors (3045504).

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

1244400 is a wasteful number, since it uses less digits than its factorization.

1244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1244400 is about 1115.5267813907. The cubic root of 1244400 is about 107.5606292208.

Adding to 1244400 its reverse (44421), we get a palindrome (1288821).

The spelling of 1244400 in words is "one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 61 68 75 80 85 100 102 120 122 136 150 170 183 200 204 240 244 255 272 300 305 340 366 400 408 425 488 510 600 610 680 732 816 850 915 976 1020 1037 1200 1220 1275 1360 1464 1525 1700 1830 2040 2074 2440 2550 2928 3050 3111 3400 3660 4080 4148 4575 4880 5100 5185 6100 6222 6800 7320 8296 9150 10200 10370 12200 12444 14640 15555 16592 18300 20400 20740 24400 24888 25925 31110 36600 41480 49776 51850 62220 73200 77775 82960 103700 124440 155550 207400 248880 311100 414800 622200 1244400