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9983064 = 2337213653
BaseRepresentation
bin100110000101…
…010001011000
3200210012012010
4212011101120
510023424224
6553545520
7150566100
oct46052130
920705163
109983064
1156a9473
1234152a0
1320b6c50
14147c200
15d22e29
hex985458

9983064 has 96 divisors (see below), whose sum is σ = 31313520. Its totient is φ = 2628864.

The previous prime is 9983033. The next prime is 9983101. The reversal of 9983064 is 4603899.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14962 + ... + 15614.

Almost surely, 29983064 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 9983064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656760).

9983064 is an abundant number, since it is smaller than the sum of its proper divisors (21330456).

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

9983064 is a wasteful number, since it uses less digits than its factorization.

9983064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 9983064 is about 3159.5987086970. The cubic root of 9983064 is about 215.3217752574.

The spelling of 9983064 in words is "nine million, nine hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 653 728 1092 1176 1274 1306 1911 1959 2184 2548 2612 3822 3918 4571 5096 5224 7644 7836 8489 9142 13713 15288 15672 16978 18284 25467 27426 31997 33956 36568 50934 54852 59423 63994 67912 95991 101868 109704 118846 127988 178269 191982 203736 237692 255976 356538 383964 415961 475384 713076 767928 831922 1247883 1426152 1663844 2495766 3327688 4991532 9983064