Search a number
-
+
123949696 = 271374489
BaseRepresentation
bin1110110001101…
…01001010000000
322122020022000111
413120311022000
5223212342241
620144401104
73033361243
oct730651200
9278208014
10123949696
1163a6a272
1235616194
131c8aa920
141266725a
15ad35c81
hex7635280

123949696 has 32 divisors (see below), whose sum is σ = 265929300. Its totient is φ = 57206784.

The previous prime is 123949681. The next prime is 123949697. The reversal of 123949696 is 696949321.

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 1537600 = 11064^2 + 1240^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (123949697) 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 3 ways as a sum of consecutive naturals, for example, 35581 + ... + 38908.

Almost surely, 2123949696 is an apocalyptic number.

123949696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123949696 is an abundant number, since it is smaller than the sum of its proper divisors (141979604).

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

123949696 is an equidigital number, since it uses as much as digits as its factorization.

123949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74516 (or 74504 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

The square root of 123949696 is about 11133.2697802577. The cubic root of 123949696 is about 498.5956539840.

The spelling of 123949696 in words is "one hundred twenty-three million, nine hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 74489 148978 297956 595912 968357 1191824 1936714 2383648 3873428 4767296 7746856 9534592 15493712 30987424 61974848 123949696