Search a number
-
+
123035472 = 2432734753
BaseRepresentation
bin1110101010101…
…01111101010000
322120111211221100
413111111331100
5222444113342
620113024400
73022533000
oct725257520
9276454840
10123035472
11634a540a
1235255100
131c64a771
14124aa000
15ac04e4c
hex7555f50

123035472 has 240 divisors, whose sum is σ = 417830400. Its totient is φ = 33755904.

The previous prime is 123035449. The next prime is 123035483. The reversal of 123035472 is 274530321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321398 + ... + 2321450.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2123035472 is an apocalyptic number.

123035472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123035472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

123035472 is an abundant number, since it is smaller than the sum of its proper divisors (294794928).

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

123035472 is a wasteful number, since it uses less digits than its factorization.

123035472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 123035472 is about 11092.1355923916. The cubic root of 123035472 is about 497.3667860462.

Adding to 123035472 its reverse (274530321), we get a palindrome (397565793).

The spelling of 123035472 in words is "one hundred twenty-three million, thirty-five thousand, four hundred seventy-two".