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10383984 = 243313432
BaseRepresentation
bin100111100111…
…001001110000
3201112120011000
4213213021300
510124241414
61010322000
7154156002
oct47471160
921476130
1010383984
115952706
123589300
1321c7590
141544372
15da1b09
hex9e7270

10383984 has 120 divisors (see below), whose sum is σ = 32862480. Its totient is φ = 3120768.

The previous prime is 10383983. The next prime is 10384021. The reversal of 10383984 is 48938301.

10383984 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10383983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241467 + ... + 241509.

It is an arithmetic number, because the mean of its divisors is an integer number (273854).

Almost surely, 210383984 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 10383984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431240).

10383984 is an abundant number, since it is smaller than the sum of its proper divisors (22478496).

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

10383984 is a wasteful number, since it uses less digits than its factorization.

10383984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10383984 is about 3222.4189671736. The cubic root of 10383984 is about 218.1664693748.

The spelling of 10383984 in words is "ten million, three hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1849 1872 2064 2236 2322 2808 3096 3354 3698 4472 4644 5031 5547 5616 6192 6708 7396 8944 9288 10062 11094 13416 14792 15093 16641 18576 20124 22188 24037 26832 29584 30186 33282 40248 44376 48074 49923 60372 66564 72111 80496 88752 96148 99846 120744 133128 144222 192296 199692 216333 241488 266256 288444 384592 399384 432666 576888 648999 798768 865332 1153776 1297998 1730664 2595996 3461328 5191992 10383984