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1144896 = 2636789
BaseRepresentation
bin100010111100001000000
32011011111120
410113201000
5243114041
640312240
712505614
oct4274100
92134446
101144896
117121a5
12472680
1331116c
1421b344
15179366
hex117840

1144896 has 56 divisors (see below), whose sum is σ = 3108960. Its totient is φ = 371712.

The previous prime is 1144889. The next prime is 1144901. The reversal of 1144896 is 6984411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12820 + ... + 12908.

21144896 is an apocalyptic number.

1144896 is a gapful number since it is divisible by the number (16) 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 1144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480).

1144896 is an abundant number, since it is smaller than the sum of its proper divisors (1964064).

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

1144896 is an equidigital number, since it uses as much as digits as its factorization.

1144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1144896 is about 1069.9981308395. The cubic root of 1144896 is about 104.6137281257.

The spelling of 1144896 in words is "one million, one hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 89 96 134 178 192 201 267 268 356 402 534 536 712 804 1068 1072 1424 1608 2136 2144 2848 3216 4272 4288 5696 5963 6432 8544 11926 12864 17088 17889 23852 35778 47704 71556 95408 143112 190816 286224 381632 572448 1144896