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11457468 = 22321128933
BaseRepresentation
bin101011101101…
…001110111100
3210120002200200
4223231032330
510413114333
61045323500
7166246461
oct53551674
923502620
1011457468
116516190
123a06590
1324b2089
141743668
151014c13
hexaed3bc

11457468 has 36 divisors (see below), whose sum is σ = 31595928. Its totient is φ = 3471840.

The previous prime is 11457451. The next prime is 11457493. The reversal of 11457468 is 86475411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14071 + ... + 14862.

Almost surely, 211457468 is an apocalyptic number.

11457468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11457468 is an abundant number, since it is smaller than the sum of its proper divisors (20138460).

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

11457468 is a wasteful number, since it uses less digits than its factorization.

11457468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28954 (or 28949 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 11457468 is about 3384.8881813141. Note that the first 3 decimals coincide. The cubic root of 11457468 is about 225.4392604062.

The spelling of 11457468 in words is "eleven million, four hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 28933 57866 86799 115732 173598 260397 318263 347196 520794 636526 954789 1041588 1273052 1909578 2864367 3819156 5728734 11457468