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9969820 = 2257175971
BaseRepresentation
bin100110000010…
…000010011100
3200202112000121
4212002002130
510023013240
6553404324
7150512350
oct46020234
920675017
109969820
11569a523
1234096a4
1320b0c03
141477460
15d1e04a
hex98209c

9969820 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3118080.

The previous prime is 9969809. The next prime is 9969853. The reversal of 9969820 is 289699.

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 31 ways as a sum of consecutive naturals, for example, 140385 + ... + 140455.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 29969820 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 9969820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

9969820 is an abundant number, since it is smaller than the sum of its proper divisors (16157540).

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

9969820 is a wasteful number, since it uses less digits than its factorization.

9969820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9969820 is about 3157.5021773548. The cubic root of 9969820 is about 215.2265144705.

It can be divided in two parts, 996 and 9820, that added together give a square (10816 = 1042).

The spelling of 9969820 in words is "nine million, nine hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 59 68 70 71 85 118 119 140 142 170 236 238 284 295 340 355 413 476 497 590 595 710 826 994 1003 1180 1190 1207 1420 1652 1988 2006 2065 2380 2414 2485 4012 4130 4189 4828 4970 5015 6035 7021 8260 8378 8449 9940 10030 12070 14042 16756 16898 20060 20945 24140 28084 29323 33796 35105 41890 42245 58646 70210 71213 83780 84490 117292 140420 142426 146615 168980 284852 293230 356065 498491 586460 712130 996982 1424260 1993964 2492455 4984910 9969820