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9994644 = 22331147179
BaseRepresentation
bin100110001000…
…000110010100
3200210210002000
4212020012110
510024312034
6554115300
7150644622
oct46100624
920723060
109994644
115707140
12341bb30
1320bc2ba
141482512
15d26599
hex988194

9994644 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2947680.

The previous prime is 9994631. The next prime is 9994669. The reversal of 9994644 is 4464999.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9994644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55747 + ... + 55925.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 29994644 is an apocalyptic number.

9994644 is a gapful number since it is divisible by the number (94) 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 9994644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

9994644 is an abundant number, since it is smaller than the sum of its proper divisors (19035756).

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

9994644 is a wasteful number, since it uses less digits than its factorization.

9994644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9994644 is about 3161.4306887863. The cubic root of 9994644 is about 215.4049982934.

The spelling of 9994644 in words is "nine million, nine hundred ninety-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 179 188 198 282 297 358 396 423 517 537 564 594 716 846 1034 1074 1188 1269 1551 1611 1692 1969 2068 2148 2538 3102 3222 3938 4653 4833 5076 5907 6204 6444 7876 8413 9306 9666 11814 13959 16826 17721 18612 19332 23628 25239 27918 33652 35442 50478 53163 55836 70884 75717 92543 100956 106326 151434 185086 212652 227151 277629 302868 370172 454302 555258 832887 908604 1110516 1665774 2498661 3331548 4997322 9994644