Search a number
-
+
12028416 = 29341191
BaseRepresentation
bin101101111000…
…101000000000
3211122002212220
4231320220000
511034402131
61105451040
7204145161
oct55705000
924562786
1012028416
116876144
124040a80
132651c0a
141851768
1510c8e96
hexb78a00

12028416 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 3891200.

The previous prime is 12028409. The next prime is 12028421. The reversal of 12028416 is 61482021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62881 + ... + 63071.

Almost surely, 212028416 is an apocalyptic number.

12028416 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 12028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

12028416 is an abundant number, since it is smaller than the sum of its proper divisors (20969472).

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

12028416 is an equidigital number, since it uses as much as digits as its factorization.

12028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

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

The square root of 12028416 is about 3468.2006862349. The cubic root of 12028416 is about 229.1234182776.

The spelling of 12028416 in words is "twelve million, twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 191 192 246 256 328 382 384 492 512 573 656 764 768 984 1146 1312 1528 1536 1968 2292 2624 3056 3936 4584 5248 6112 7831 7872 9168 10496 12224 15662 15744 18336 20992 23493 24448 31324 31488 36672 46986 48896 62648 62976 73344 93972 97792 125296 146688 187944 250592 293376 375888 501184 751776 1002368 1503552 2004736 3007104 4009472 6014208 12028416