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10750320 = 24355779
BaseRepresentation
bin101001000000…
…100101110000
3202020011200000
4221000211300
510223002240
61022230000
7160243020
oct51004560
922204600
1010750320
116082969
123725300
1322c5249
1415dba80
15e25430
hexa40970

10750320 has 240 divisors, whose sum is σ = 43330560. Its totient is φ = 2426112.

The previous prime is 10750319. The next prime is 10750349. The reversal of 10750320 is 2305701.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10750293 and 10750302.

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, 136041 + ... + 136119.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 210750320 is an apocalyptic number.

10750320 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 10750320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

10750320 is an abundant number, since it is smaller than the sum of its proper divisors (32580240).

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

10750320 is an equidigital number, since it uses as much as digits as its factorization.

10750320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10750320 is about 3278.7680613304. The cubic root of 10750320 is about 220.7024379943.

The spelling of 10750320 in words is "ten million, seven hundred fifty thousand, three hundred twenty".