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10848240 = 24325131961
BaseRepresentation
bin101001011000…
…011111110000
3202102010222200
4221120133300
510234120430
61024303200
7161131344
oct51303760
922363880
1010848240
11613a497
123771b00
13232a9a0
141625624
15e44460
hexa587f0

10848240 has 240 divisors, whose sum is σ = 41976480. Its totient is φ = 2488320.

The previous prime is 10848223. The next prime is 10848251. The reversal of 10848240 is 4284801.

10848240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×108482402 = 235368622195200, which contains 22 as substring.

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, 177810 + ... + 177870.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 210848240 is an apocalyptic number.

10848240 is a gapful number since it is divisible by the number (10) 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 10848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988240).

10848240 is an abundant number, since it is smaller than the sum of its proper divisors (31128240).

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

10848240 is a wasteful number, since it uses less digits than its factorization.

10848240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10848240 is about 3293.6666497993. Note that the first 4 decimals coincide. The cubic root of 10848240 is about 221.3705079411.

The spelling of 10848240 in words is "ten million, eight hundred forty-eight thousand, two hundred forty".