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1468096 = 26729113
BaseRepresentation
bin101100110011011000000
32202120211221
411212123000
5333434341
651244424
715323110
oct5463300
92676757
101468096
11913003
125a9714
133c52c6
142a3040
151deed1
hex1666c0

1468096 has 56 divisors (see below), whose sum is σ = 3474720. Its totient is φ = 602112.

The previous prime is 1468079. The next prime is 1468109. The reversal of 1468096 is 6908641.

1468096 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (56).

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, 12936 + ... + 13048.

21468096 is an apocalyptic number.

1468096 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 1468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360).

1468096 is an abundant number, since it is smaller than the sum of its proper divisors (2006624).

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

1468096 is a wasteful number, since it uses less digits than its factorization.

1468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1468096 is about 1211.6501145133. The cubic root of 1468096 is about 113.6540244260.

The spelling of 1468096 in words is "one million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 113 116 203 224 226 232 406 448 452 464 791 812 904 928 1582 1624 1808 1856 3164 3248 3277 3616 6328 6496 6554 7232 12656 12992 13108 22939 25312 26216 45878 50624 52432 91756 104864 183512 209728 367024 734048 1468096