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23196768 = 253734519
BaseRepresentation
bin101100001111…
…1010001100000
31121122111222120
41120133101200
521414244033
62145104240
7401112030
oct130372140
947574876
1023196768
1112104091
127928080
134a624ca
14311b8c0
1520831b3
hex161f460

23196768 has 48 divisors (see below), whose sum is σ = 69592320. Its totient is φ = 6627456.

The previous prime is 23196731. The next prime is 23196769. The reversal of 23196768 is 86769132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23196769) by changing a digit.

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, 16588 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (1449840).

Almost surely, 223196768 is an apocalyptic number.

23196768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23196768 is an abundant number, since it is smaller than the sum of its proper divisors (46395552).

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

23196768 is a wasteful number, since it uses less digits than its factorization.

23196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34539 (or 34531 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 23196768 is about 4816.3023160927. The cubic root of 23196768 is about 285.1953846426.

The spelling of 23196768 in words is "twenty-three million, one hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 34519 69038 103557 138076 207114 241633 276152 414228 483266 552304 724899 828456 966532 1104608 1449798 1656912 1933064 2899596 3313824 3866128 5799192 7732256 11598384 23196768