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1228416 = 2737457
BaseRepresentation
bin100101011111010000000
32022102001220
410223322000
5303302131
642155040
713304250
oct4537200
92272056
101228416
11769a22
124b2a80
13340197
1423d960
15193e96
hex12be80

1228416 has 64 divisors (see below), whose sum is σ = 3737280. Its totient is φ = 350208.

The previous prime is 1228399. The next prime is 1228429. The reversal of 1228416 is 6148221.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2460 + ... + 2916.

It is an arithmetic number, because the mean of its divisors is an integer number (58395).

21228416 is an apocalyptic number.

1228416 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 1228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868640).

1228416 is an abundant number, since it is smaller than the sum of its proper divisors (2508864).

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

1228416 is an equidigital number, since it uses as much as digits as its factorization.

1228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

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

The square root of 1228416 is about 1108.3392982296. The cubic root of 1228416 is about 107.0981136349.

The spelling of 1228416 in words is "one million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 457 672 896 914 1344 1371 1828 2688 2742 3199 3656 5484 6398 7312 9597 10968 12796 14624 19194 21936 25592 29248 38388 43872 51184 58496 76776 87744 102368 153552 175488 204736 307104 409472 614208 1228416