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10249740 = 223651937
BaseRepresentation
bin100111000110…
…011000001100
3201021202000000
4213012120030
510110442430
61003404300
7153056424
oct47063014
921252000
1010249740
115870866
123523690
13217b447
14150b484
15d76e60
hex9c660c

10249740 has 168 divisors, whose sum is σ = 34888560. Its totient is φ = 2519424.

The previous prime is 10249739. The next prime is 10249751. The reversal of 10249740 is 4794201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 277002 + ... + 277038.

It is an arithmetic number, because the mean of its divisors is an integer number (207670).

Almost surely, 210249740 is an apocalyptic number.

10249740 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 10249740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444280).

10249740 is an abundant number, since it is smaller than the sum of its proper divisors (24638820).

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

10249740 is a wasteful number, since it uses less digits than its factorization.

10249740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10249740 is about 3201.5215132808. The cubic root of 10249740 is about 217.2222375815. Note that the first 4 decimals are identical.

The spelling of 10249740 in words is "ten million, two hundred forty-nine thousand, seven hundred forty".