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199709064 = 2335176043
BaseRepresentation
bin10111110011101…
…01000110001000
3111220210021100000
423321311012020
5402111142224
631452243000
74643333112
oct1371650610
9456707300
10199709064
11a2804415
1256a70460
13324b4a59
141c7483b2
15127ed0c9
hexbe75188

199709064 has 96 divisors (see below), whose sum is σ = 594004320. Its totient is φ = 62643456.

The previous prime is 199709053. The next prime is 199709087. The reversal of 199709064 is 460907991.

199709064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 30027 + ... + 36069.

It is an arithmetic number, because the mean of its divisors is an integer number (6187545).

Almost surely, 2199709064 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 199709064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297002160).

199709064 is an abundant number, since it is smaller than the sum of its proper divisors (394295256).

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

199709064 is a wasteful number, since it uses less digits than its factorization.

199709064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199709064 is about 14131.8457393222. The cubic root of 199709064 is about 584.5198426899.

The spelling of 199709064 in words is "one hundred ninety-nine million, seven hundred nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 6043 8262 11016 12086 16524 18129 24172 33048 36258 48344 54387 72516 102731 108774 145032 163161 205462 217548 308193 326322 410924 435096 489483 616386 652644 821848 924579 978966 1232772 1305288 1468449 1849158 1957932 2465544 2773737 2936898 3698316 3915864 5547474 5873796 7396632 8321211 11094948 11747592 16642422 22189896 24963633 33284844 49927266 66569688 99854532 199709064