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10390744 = 2372132039
BaseRepresentation
bin100111101000…
…110011011000
3201112220102101
4213220303120
510130000434
61010413144
7154214500
oct47506330
921486371
1010390744
1159577a1
1235911b4
1321ca690
141546a00
15da3b14
hex9e8cd8

10390744 has 48 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 4108608.

The previous prime is 10390741. The next prime is 10390769. The reversal of 10390744 is 44709301.

10390744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10390741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4077 + ... + 6115.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 210390744 is an apocalyptic number.

10390744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10390744 is the 2039-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10390744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

10390744 is an abundant number, since it is smaller than the sum of its proper divisors (14028056).

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

10390744 is a wasteful number, since it uses less digits than its factorization.

10390744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10390744 is about 3223.4676979923. The cubic root of 10390744 is about 218.2138014140.

The spelling of 10390744 in words is "ten million, three hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2039 2548 4078 5096 8156 14273 16312 26507 28546 53014 57092 99911 106028 114184 185549 199822 212056 371098 399644 742196 799288 1298843 1484392 2597686 5195372 10390744