Search a number
-
+
423193680 = 243357132153
BaseRepresentation
bin11001001110010…
…110110001010000
31002111022110121000
4121032112301100
51331314144210
6105554302000
713326041550
oct3116266120
91074273530
10423193680
111a7977748
12b9887900
13698a2580
14402c1160
1527245ac0
hex19396c50

423193680 has 320 divisors, whose sum is σ = 1794885120. Its totient is φ = 89247744.

The previous prime is 423193651. The next prime is 423193681. The reversal of 423193680 is 86391324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423193681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195484 + ... + 197636.

It is an arithmetic number, because the mean of its divisors is an integer number (5609016).

Almost surely, 2423193680 is an apocalyptic number.

423193680 is a gapful number since it is divisible by the number (40) 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 423193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897442560).

423193680 is an abundant number, since it is smaller than the sum of its proper divisors (1371691440).

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

423193680 is a wasteful number, since it uses less digits than its factorization.

423193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 423193680 is about 20571.6717842766. The cubic root of 423193680 is about 750.7806272130.

The spelling of 423193680 in words is "four hundred twenty-three million, one hundred ninety-three thousand, six hundred eighty".