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1468368 = 243411103
BaseRepresentation
bin101100110011111010000
32202121020000
411212133100
5333441433
651250000
715323646
oct5463720
92677200
101468368
11913230
125a9900
133c5475
142a3196
151e0113
hex1667d0

1468368 has 100 divisors (see below), whose sum is σ = 4681248. Its totient is φ = 440640.

The previous prime is 1468277. The next prime is 1468387. The reversal of 1468368 is 8638641.

It is a happy number.

It is a super-2 number, since 2×14683682 = 4312209166848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14205 + ... + 14307.

21468368 is an apocalyptic number.

1468368 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 1468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340624).

1468368 is an abundant number, since it is smaller than the sum of its proper divisors (3212880).

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

1468368 is a wasteful number, since it uses less digits than its factorization.

1468368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1468368 is about 1211.7623529389. The cubic root of 1468368 is about 113.6610430373.

The spelling of 1468368 in words is "one million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 103 108 132 144 162 176 198 206 216 264 297 309 324 396 412 432 528 594 618 648 792 824 891 927 1133 1188 1236 1296 1584 1648 1782 1854 2266 2376 2472 2781 3399 3564 3708 4532 4752 4944 5562 6798 7128 7416 8343 9064 10197 11124 13596 14256 14832 16686 18128 20394 22248 27192 30591 33372 40788 44496 54384 61182 66744 81576 91773 122364 133488 163152 183546 244728 367092 489456 734184 1468368