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9912816 = 2432234173
BaseRepresentation
bin100101110100…
…000111110000
3200122121211100
4211310013300
510014202231
6552244400
7150154224
oct45640760
920577740
109912816
115660711
1233a0700
132090c94
141460784
15d0c1e6
hex9741f0

9912816 has 120 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 3041280.

The previous prime is 9912803. The next prime is 9912829. The reversal of 9912816 is 6182199.

It is an interprime number because it is at equal distance from previous prime (9912803) and next prime (9912829).

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

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

It is a zygodrome in base 6.

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 23 ways as a sum of consecutive naturals, for example, 135756 + ... + 135828.

Almost surely, 29912816 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 9912816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

9912816 is an abundant number, since it is smaller than the sum of its proper divisors (20147760).

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

9912816 is a wasteful number, since it uses less digits than its factorization.

9912816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9912816 is about 3148.4624819108. The cubic root of 9912816 is about 214.8155331401.

The spelling of 9912816 in words is "nine million, nine hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 73 82 92 123 138 144 146 164 184 207 219 246 276 292 328 368 369 414 438 492 552 584 656 657 738 828 876 943 984 1104 1168 1314 1476 1656 1679 1752 1886 1968 2628 2829 2952 2993 3312 3358 3504 3772 5037 5256 5658 5904 5986 6716 7544 8487 8979 10074 10512 11316 11972 13432 15088 15111 16974 17958 20148 22632 23944 26864 26937 30222 33948 35916 40296 45264 47888 53874 60444 67896 68839 71832 80592 107748 120888 135792 137678 143664 206517 215496 241776 275356 413034 430992 550712 619551 826068 1101424 1239102 1652136 2478204 3304272 4956408 9912816