Search a number
-
+
10073448 = 23327112379
BaseRepresentation
bin100110011011…
…010101101000
3200221210011200
4212123111220
510034322243
6555524200
7151423440
oct46332550
920853150
1010073448
115760370
123459660
132119128
1414a3120
15d3ead3
hex99b568

10073448 has 192 divisors, whose sum is σ = 35942400. Its totient is φ = 2471040.

The previous prime is 10073447. The next prime is 10073449. The reversal of 10073448 is 84437001.

10073448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10073447) and next prime (10073449).

It is not an unprimeable number, because it can be changed into a prime (10073447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127473 + ... + 127551.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 210073448 is an apocalyptic number.

10073448 is a gapful number since it is divisible by the number (18) 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 10073448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

10073448 is an abundant number, since it is smaller than the sum of its proper divisors (25868952).

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

10073448 is a wasteful number, since it uses less digits than its factorization.

10073448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10073448 is about 3173.8695625372. The cubic root of 10073448 is about 215.9696459404.

The spelling of 10073448 in words is "ten million, seventy-three thousand, four hundred forty-eight".