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10389940 = 2251183569
BaseRepresentation
bin100111101000…
…100110110100
3201112212022121
4213220212310
510124434230
61010405324
7154212241
oct47504664
921485277
1010389940
115957130
123590844
1321ca1c2
1415465c8
15da377a
hex9e89b4

10389940 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3726080.

The previous prime is 10389937. The next prime is 10389983. The reversal of 10389940 is 4998301.

10389940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10389896 and 10389905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17976 + ... + 18544.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 210389940 is an apocalyptic number.

10389940 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 10389940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10389940 is an abundant number, since it is smaller than the sum of its proper divisors (13741580).

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

10389940 is a wasteful number, since it uses less digits than its factorization.

10389940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 10389940 is about 3223.3429851631. The cubic root of 10389940 is about 218.2081730580.

The spelling of 10389940 in words is "ten million, three hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 569 830 913 1138 1660 1826 2276 2845 3652 4565 5690 6259 9130 11380 12518 18260 25036 31295 47227 62590 94454 125180 188908 236135 472270 519497 944540 1038994 2077988 2597485 5194970 10389940