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10389744 = 2432233137
BaseRepresentation
bin100111101000…
…100011110000
3201112212001100
4213220203300
510124432434
61010404400
7154211541
oct47504360
921485040
1010389744
115956a72
123590700
1321ca0a1
1415464c8
15da3699
hex9e88f0

10389744 has 60 divisors (see below), whose sum is σ = 30350736. Its totient is φ = 3311616.

The previous prime is 10389733. The next prime is 10389781. The reversal of 10389744 is 44798301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10389699 and 10389708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744 + ... + 4880.

Almost surely, 210389744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10389744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175368).

10389744 is an abundant number, since it is smaller than the sum of its proper divisors (19960992).

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

10389744 is a wasteful number, since it uses less digits than its factorization.

10389744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10389744 is about 3223.3125818015. The cubic root of 10389744 is about 218.2068009271.

The spelling of 10389744 in words is "ten million, three hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3137 3312 6274 9411 12548 18822 25096 28233 37644 50192 56466 72151 75288 112932 144302 150576 216453 225864 288604 432906 451728 577208 649359 865812 1154416 1298718 1731624 2597436 3463248 5194872 10389744