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1144900 = 22521072
BaseRepresentation
bin100010111100001000100
32011011111201
410113201010
5243114100
640312244
712505621
oct4274104
92134451
101144900
117121a9
12472684
13311173
1421b348
1517936a
hex117844

1144900 has 27 divisors (see below), whose sum is σ = 2507869. Its totient is φ = 453680.

The previous prime is 1144889. The next prime is 1144901. The reversal of 1144900 is 94411.

The square root of 1144900 is 1070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 732736 = 642^2 + 856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10647 + ... + 10753.

21144900 is an apocalyptic number.

1144900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144900 is the 1070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144900

1144900 is an abundant number, since it is smaller than the sum of its proper divisors (1362969).

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

1144900 is a wasteful number, since it uses less digits than its factorization.

1144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 1144900 is about 104.6138499575.

Multiplying 1144900 by its product of nonzero digits (144), we get a square (164865600 = 128402).

The spelling of 1144900 in words is "one million, one hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 11449 22898 45796 57245 114490 228980 286225 572450 1144900