Search a number
-
+
1241200 = 245229107
BaseRepresentation
bin100101111000001110000
32100001121101
410233001300
5304204300
642334144
713356442
oct4570160
92301541
101241200
11778594
124ba354
13345c4c
14244492
15197b6a
hex12f070

1241200 has 60 divisors (see below), whose sum is σ = 3113640. Its totient is φ = 474880.

The previous prime is 1241197. The next prime is 1241203. The reversal of 1241200 is 21421.

It is an interprime number because it is at equal distance from previous prime (1241197) and next prime (1241203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11547 + ... + 11653.

It is an arithmetic number, because the mean of its divisors is an integer number (51894).

21241200 is an apocalyptic number.

1241200 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 1241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556820).

1241200 is an abundant number, since it is smaller than the sum of its proper divisors (1872440).

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

1241200 is a wasteful number, since it uses less digits than its factorization.

1241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1241200 is about 1114.0915581764. The cubic root of 1241200 is about 107.4683519601.

Adding to 1241200 its reverse (21421), we get a palindrome (1262621).

It can be divided in two parts, 1241 and 200, that added together give a palindrome (1441).

The spelling of 1241200 in words is "one million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 107 116 145 200 214 232 290 400 428 464 535 580 725 856 1070 1160 1450 1712 2140 2320 2675 2900 3103 4280 5350 5800 6206 8560 10700 11600 12412 15515 21400 24824 31030 42800 49648 62060 77575 124120 155150 248240 310300 620600 1241200