Search a number
-
+
1228608 = 263579
BaseRepresentation
bin100101011111101000000
32022102100000
410223331000
5303303413
642200000
713304643
oct4537500
92272300
101228608
1176a087
124b3000
133402b4
1423da5a
15194073
hex12bf40

1228608 has 84 divisors (see below), whose sum is σ = 3698240. Its totient is φ = 404352.

The previous prime is 1228603. The next prime is 1228613. The reversal of 1228608 is 8068221.

It is an interprime number because it is at equal distance from previous prime (1228603) and next prime (1228613).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15513 + ... + 15591.

21228608 is an apocalyptic number.

1228608 is a gapful number since it is divisible by the number (18) 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 1228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849120).

1228608 is an abundant number, since it is smaller than the sum of its proper divisors (2469632).

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

1228608 is an frugal number, since it uses more digits than its factorization.

1228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1228608 is about 1108.4259109205. The cubic root of 1228608 is about 107.1036931147.

The spelling of 1228608 in words is "one million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 243 288 316 324 432 474 486 576 632 648 711 864 948 972 1264 1296 1422 1728 1896 1944 2133 2528 2592 2844 3792 3888 4266 5056 5184 5688 6399 7584 7776 8532 11376 12798 15168 15552 17064 19197 22752 25596 34128 38394 45504 51192 68256 76788 102384 136512 153576 204768 307152 409536 614304 1228608