Search a number
-
+
123468102 = 23231409541
BaseRepresentation
bin1110101101111…
…11100101000110
322121022211101200
413112333211012
5223101434402
620130203330
73026314212
oct726774506
9277284350
10123468102
116377045a
1235423546
131c76c664
141257d942
15ac8d21c
hex75bf946

123468102 has 48 divisors (see below), whose sum is σ = 277330560. Its totient is φ = 39657600.

The previous prime is 123468101. The next prime is 123468113. The reversal of 123468102 is 201864321.

It is a super-2 number, since 2×1234681022 = 30488744422964808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123468101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227952 + ... + 228492.

It is an arithmetic number, because the mean of its divisors is an integer number (5777720).

Almost surely, 2123468102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123468102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138665280).

123468102 is an abundant number, since it is smaller than the sum of its proper divisors (153862458).

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

123468102 is a wasteful number, since it uses less digits than its factorization.

123468102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123468102 is about 11111.6201338959. The cubic root of 123468102 is about 497.9490681933.

The spelling of 123468102 in words is "one hundred twenty-three million, four hundred sixty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 409 541 558 818 1082 1227 1623 2454 3246 3681 4869 7362 9738 12679 16771 25358 33542 38037 50313 76074 100626 114111 150939 221269 228222 301878 442538 663807 1327614 1991421 3982842 6859339 13718678 20578017 41156034 61734051 123468102