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163420560 = 24325593847
BaseRepresentation
bin10011011110110…
…01100110010000
3102101111121212100
421233121212100
5313313424220
624114400400
74023023532
oct1157314620
9371447770
10163420560
1184279316
1246890100
1327b1a674
14179bd852
15e530d90
hex9bd9990

163420560 has 120 divisors (see below), whose sum is σ = 558267840. Its totient is φ = 42829056.

The previous prime is 163420553. The next prime is 163420567. The reversal of 163420560 is 65024361.

163420560 is a `hidden beast` number, since 1 + 63 + 42 + 0 + 560 = 666.

163420560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163420553) and next prime (163420567).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (163420567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40557 + ... + 44403.

It is an arithmetic number, because the mean of its divisors is an integer number (4652232).

Almost surely, 2163420560 is an apocalyptic number.

163420560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279133920).

163420560 is an abundant number, since it is smaller than the sum of its proper divisors (394847280).

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

163420560 is a wasteful number, since it uses less digits than its factorization.

163420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 163420560 is about 12783.6051253158. The cubic root of 163420560 is about 546.7249557781.

The spelling of 163420560 in words is "one hundred sixty-three million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 3847 4248 4720 5310 7080 7694 8496 10620 11541 14160 15388 19235 21240 23082 30776 34623 38470 42480 46164 57705 61552 69246 76940 92328 115410 138492 153880 173115 184656 226973 230820 276984 307760 346230 453946 461640 553968 680919 692460 907892 923280 1134865 1361838 1384920 1815784 2042757 2269730 2723676 2769840 3404595 3631568 4085514 4539460 5447352 6809190 8171028 9078920 10213785 10894704 13618380 16342056 18157840 20427570 27236760 32684112 40855140 54473520 81710280 163420560