Search a number
-
+
201073536 = 273373797
BaseRepresentation
bin10111111110000…
…10001110000000
3112000100121001000
423333002032000
5402433323121
631541412000
74661045136
oct1377021600
9460317030
10201073536
11a3556584
125740a000
1332871b31
141c9c1756
15129bc526
hexbfc2380

201073536 has 128 divisors (see below), whose sum is σ = 602330400. Its totient is φ = 66023424.

The previous prime is 201073529. The next prime is 201073541. The reversal of 201073536 is 635370102.

It is a happy number.

201073536 is a `hidden beast` number, since 20 + 107 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251890 + ... + 252686.

Almost surely, 2201073536 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 201073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301165200).

201073536 is an abundant number, since it is smaller than the sum of its proper divisors (401256864).

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

201073536 is an equidigital number, since it uses as much as digits as its factorization.

201073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 201073536 is about 14180.0400563609. The cubic root of 201073536 is about 585.8480271574.

The spelling of 201073536 in words is "two hundred one million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 384 432 438 576 584 657 797 864 876 1152 1168 1314 1594 1728 1752 1971 2336 2391 2628 3188 3456 3504 3942 4672 4782 5256 6376 7008 7173 7884 9344 9564 10512 12752 14016 14346 15768 19128 21024 21519 25504 28032 28692 31536 38256 42048 43038 51008 57384 58181 63072 76512 84096 86076 102016 114768 116362 126144 153024 172152 174543 229536 232724 252288 306048 344304 349086 459072 465448 523629 688608 698172 918144 930896 1047258 1377216 1396344 1570887 1861792 2094516 2754432 2792688 3141774 3723584 4189032 5585376 6283548 7447168 8378064 11170752 12567096 16756128 22341504 25134192 33512256 50268384 67024512 100536768 201073536