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9947070 = 2335719277
BaseRepresentation
bin100101111100…
…011110111110
3200201100211000
4211330132332
510021301240
6553111130
7150356130
oct45743676
920640730
109947070
115684421
1233b84a6
1320a3753
14146d050
15d17430
hex97c7be

9947070 has 128 divisors (see below), whose sum is σ = 32025600. Its totient is φ = 2146176.

The previous prime is 9947039. The next prime is 9947071. The reversal of 9947070 is 707499.

It is a super-3 number, since 3×99470703 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9947071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35772 + ... + 36048.

It is an arithmetic number, because the mean of its divisors is an integer number (250200).

Almost surely, 29947070 is an apocalyptic number.

9947070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9947070 is the 1995-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012800).

9947070 is an abundant number, since it is smaller than the sum of its proper divisors (22078530).

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

9947070 is a wasteful number, since it uses less digits than its factorization.

9947070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9947070 is about 3153.8975886988. The cubic root of 9947070 is about 215.0626822823.

The spelling of 9947070 in words is "nine million, nine hundred forty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 277 285 315 342 378 399 513 554 570 630 665 798 831 855 945 1026 1197 1330 1385 1662 1710 1890 1939 1995 2394 2493 2565 2770 3591 3878 3990 4155 4986 5130 5263 5817 5985 7182 7479 8310 9695 10526 11634 11970 12465 14958 15789 17451 17955 19390 24930 26315 29085 31578 34902 35910 36841 37395 47367 52353 52630 58170 73682 74790 78945 87255 94734 104706 110523 142101 157890 174510 184205 221046 236835 261765 284202 331569 368410 473670 523530 552615 663138 710505 994707 1105230 1421010 1657845 1989414 3315690 4973535 9947070