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1232880 = 243511467
BaseRepresentation
bin100101100111111110000
32022122012020
410230333300
5303423010
642231440
713323255
oct4547760
92278166
101232880
11772310
124b5580
1334221c
1424142c
15195470
hex12cff0

1232880 has 80 divisors (see below), whose sum is σ = 4178304. Its totient is φ = 298240.

The previous prime is 1232879. The next prime is 1232893. The reversal of 1232880 is 882321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1232880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407 + ... + 2873.

21232880 is an apocalyptic number.

1232880 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 1232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152).

1232880 is an abundant number, since it is smaller than the sum of its proper divisors (2945424).

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

1232880 is a wasteful number, since it uses less digits than its factorization.

1232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1232880 is about 1110.3512957618. The cubic root of 1232880 is about 107.2276864703.

It can be divided in two parts, 1232 and 880, that added together give a palindrome (2112).

The spelling of 1232880 in words is "one million, two hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 467 528 660 880 934 1320 1401 1868 2335 2640 2802 3736 4670 5137 5604 7005 7472 9340 10274 11208 14010 15411 18680 20548 22416 25685 28020 30822 37360 41096 51370 56040 61644 77055 82192 102740 112080 123288 154110 205480 246576 308220 410960 616440 1232880