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1144100 = 225217673
BaseRepresentation
bin100010111010100100100
32011010102002
410113110210
5243102400
640304432
712503366
oct4272444
92133362
101144100
11711641
12472118
133109a9
1421ad36
15178ed5
hex117524

1144100 has 36 divisors (see below), whose sum is σ = 2632644. Its totient is φ = 430080.

The previous prime is 1144081. The next prime is 1144103. The reversal of 1144100 is 14411.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 1136356 = 88^2 + 1066^2 .

It is not an unprimeable number, because it can be changed into a prime (1144103) 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, 1364 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (73129).

21144100 is an apocalyptic number.

1144100 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 1144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316322).

1144100 is an abundant number, since it is smaller than the sum of its proper divisors (1488544).

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

1144100 is a wasteful number, since it uses less digits than its factorization.

1144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1144100 is about 1069.6261028976. The cubic root of 1144100 is about 104.5894779365.

Adding to 1144100 its reverse (14411), we get a palindrome (1158511).

The spelling of 1144100 in words is "one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 673 850 1346 1700 2692 3365 6730 11441 13460 16825 22882 33650 45764 57205 67300 114410 228820 286025 572050 1144100