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1144880 = 245111301
BaseRepresentation
bin100010111100000110000
32011011110222
410113200300
5243114010
640312212
712505562
oct4274060
92134428
101144880
11712190
12472668
13311159
1421b332
15179355
hex117830

1144880 has 40 divisors (see below), whose sum is σ = 2906064. Its totient is φ = 416000.

The previous prime is 1144879. The next prime is 1144889. The reversal of 1144880 is 884411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-5 number, since 5×11448805 (a number of 31 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (1144889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 1530.

21144880 is an apocalyptic number.

1144880 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 1144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453032).

1144880 is an abundant number, since it is smaller than the sum of its proper divisors (1761184).

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

1144880 is a wasteful number, since it uses less digits than its factorization.

1144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1144880 is about 1069.9906541648. The cubic root of 1144880 is about 104.6132407954.

It can be divided in two parts, 114 and 4880, that added together give a palindrome (4994).

The spelling of 1144880 in words is "one million, one hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1301 2602 5204 6505 10408 13010 14311 20816 26020 28622 52040 57244 71555 104080 114488 143110 228976 286220 572440 1144880