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13123040 = 255711717
BaseRepresentation
bin110010000011…
…110111100000
3220200201102112
4302003313200
511324414130
61145134452
7216354410
oct62036740
926621375
1013123040
117453597
12448a428
132946218
141a58640
151243495
hexc83de0

13123040 has 48 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 4498944.

The previous prime is 13123039. The next prime is 13123057. The reversal of 13123040 is 4032131.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 7 ways as a sum of consecutive naturals, for example, 4739 + ... + 6978.

It is an arithmetic number, because the mean of its divisors is an integer number (738234).

Almost surely, 213123040 is an apocalyptic number.

13123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123040 is an abundant number, since it is smaller than the sum of its proper divisors (22312192).

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

13123040 is a wasteful number, since it uses less digits than its factorization.

13123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13123040 is about 3622.5736707485. The cubic root of 13123040 is about 235.8729566152.

Adding to 13123040 its reverse (4032131), we get a palindrome (17155171).

Subtracting from 13123040 its reverse (4032131), we obtain a palindrome (9090909).

The spelling of 13123040 in words is "thirteen million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 11717 23434 46868 58585 82019 93736 117170 164038 187472 234340 328076 374944 410095 468680 656152 820190 937360 1312304 1640380 1874720 2624608 3280760 6561520 13123040