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9969750 = 233537211
BaseRepresentation
bin100110000010…
…000001010110
3200202111221000
4212002001112
510023013000
6553404130
7150512220
oct46020126
920674830
109969750
11569a46a
123409646
1320b0b7b
141477410
15d1e000
hex982056

9969750 has 128 divisors (see below), whose sum is σ = 31749120. Its totient is φ = 2268000.

The previous prime is 9969731. The next prime is 9969793. The reversal of 9969750 is 579699.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9969696 and 9969705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47145 + ... + 47355.

It is an arithmetic number, because the mean of its divisors is an integer number (248040).

Almost surely, 29969750 is an apocalyptic number.

9969750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874560).

9969750 is an abundant number, since it is smaller than the sum of its proper divisors (21779370).

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

9969750 is a wasteful number, since it uses less digits than its factorization.

9969750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9969750 is about 3157.4910926240. The cubic root of 9969750 is about 215.2260107539.

The spelling of 9969750 in words is "nine million, nine hundred sixty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 211 225 250 270 315 350 375 378 422 450 525 630 633 675 750 875 945 1050 1055 1125 1266 1350 1477 1575 1750 1890 1899 2110 2250 2625 2954 3150 3165 3375 3798 4431 4725 5250 5275 5697 6330 6750 7385 7875 8862 9450 9495 10550 11394 13293 14770 15750 15825 18990 22155 23625 26375 26586 28485 31650 36925 39879 44310 47250 47475 52750 56970 66465 73850 79125 79758 94950 110775 132930 142425 158250 184625 199395 221550 237375 284850 332325 369250 398790 474750 553875 664650 712125 996975 1107750 1424250 1661625 1993950 3323250 4984875 9969750