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9930800 = 2452113761
BaseRepresentation
bin100101111000…
…100000110000
3200200112111102
4211320200300
510020241200
6552503532
7150260525
oct45704060
920615442
109930800
115673180
1233aaba8
132099219
14146714c
15d126d5
hex978830

9930800 has 120 divisors (see below), whose sum is σ = 27169392. Its totient is φ = 3456000.

The previous prime is 9930797. The next prime is 9930827. The reversal of 9930800 is 80399.

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, 162770 + ... + 162830.

Almost surely, 29930800 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 9930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584696).

9930800 is an abundant number, since it is smaller than the sum of its proper divisors (17238592).

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

9930800 is a wasteful number, since it uses less digits than its factorization.

9930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 9930800 is about 3151.3171849244. The cubic root of 9930800 is about 214.9453619949.

The spelling of 9930800 in words is "nine million, nine hundred thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 61 74 80 88 100 110 122 148 176 185 200 220 244 275 296 305 370 400 407 440 488 550 592 610 671 740 814 880 925 976 1100 1220 1342 1480 1525 1628 1850 2035 2200 2257 2440 2684 2960 3050 3256 3355 3700 4070 4400 4514 4880 5368 6100 6512 6710 7400 8140 9028 10175 10736 11285 12200 13420 14800 16280 16775 18056 20350 22570 24400 24827 26840 32560 33550 36112 40700 45140 49654 53680 56425 67100 81400 90280 99308 112850 124135 134200 162800 180560 198616 225700 248270 268400 397232 451400 496540 620675 902800 993080 1241350 1986160 2482700 4965400 9930800