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1144080 = 243257227
BaseRepresentation
bin100010111010100010000
32011010101100
410113110100
5243102310
640304400
712503340
oct4272420
92133340
101144080
11711623
12472100
13310992
1421ad20
15178ec0
hex117510

1144080 has 120 divisors (see below), whose sum is σ = 4410432. Its totient is φ = 260352.

The previous prime is 1144061. The next prime is 1144081. The reversal of 1144080 is 804411.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (1144081) 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, 4927 + ... + 5153.

21144080 is an apocalyptic number.

1144080 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 1144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205216).

1144080 is an abundant number, since it is smaller than the sum of its proper divisors (3266352).

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

1144080 is a wasteful number, since it uses less digits than its factorization.

1144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1144080 is about 1069.6167537955. The cubic root of 1144080 is about 104.5888684904.

Adding to 1144080 its reverse (804411), we get a palindrome (1948491).

The spelling of 1144080 in words is "one million, one hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 227 240 252 280 315 336 360 420 454 504 560 630 681 720 840 908 1008 1135 1260 1362 1589 1680 1816 2043 2270 2520 2724 3178 3405 3632 4086 4540 4767 5040 5448 6356 6810 7945 8172 9080 9534 10215 10896 12712 13620 14301 15890 16344 18160 19068 20430 23835 25424 27240 28602 31780 32688 38136 40860 47670 54480 57204 63560 71505 76272 81720 95340 114408 127120 143010 163440 190680 228816 286020 381360 572040 1144080