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201298320 = 24325793539
BaseRepresentation
bin10111111111110…
…01000110010000
3112000210000101100
423333321012100
5403013021240
631550304400
74663002366
oct1377710620
9460700340
10201298320
11a369a453
12574b8100
1332920242
141ca3d636
1512a13e30
hexbff9190

201298320 has 120 divisors (see below), whose sum is σ = 684777600. Its totient is φ = 52985088.

The previous prime is 201298301. The next prime is 201298333. The reversal of 201298320 is 23892102.

It is a happy number.

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

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, 55111 + ... + 58649.

It is an arithmetic number, because the mean of its divisors is an integer number (5706480).

Almost surely, 2201298320 is an apocalyptic number.

201298320 is a gapful number since it is divisible by the number (20) 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 201298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342388800).

201298320 is an abundant number, since it is smaller than the sum of its proper divisors (483479280).

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

201298320 is a wasteful number, since it uses less digits than its factorization.

201298320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201298320 is about 14187.9639131202. The cubic root of 201298320 is about 586.0662561419.

The spelling of 201298320 in words is "two hundred one million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3539 3555 3792 4740 5688 6320 7078 7110 9480 10617 11376 14156 14220 17695 18960 21234 28312 28440 31851 35390 42468 53085 56624 56880 63702 70780 84936 106170 127404 141560 159255 169872 212340 254808 279581 283120 318510 424680 509616 559162 637020 838743 849360 1118324 1274040 1397905 1677486 2236648 2516229 2548080 2795810 3354972 4193715 4473296 5032458 5591620 6709944 8387430 10064916 11183240 12581145 13419888 16774860 20129832 22366480 25162290 33549720 40259664 50324580 67099440 100649160 201298320