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199540704 = 25311375107
BaseRepresentation
bin10111110010010…
…11111111100000
3111220110201101110
423321023333200
5402040300304
631444503320
74642032216
oct1371137740
9456421343
10199540704
11a26a9980
12569aab40
133245622c
141c702cb6
15127b8289
hexbe4bfe0

199540704 has 96 divisors (see below), whose sum is σ = 586970496. Its totient is φ = 58821120.

The previous prime is 199540681. The next prime is 199540721. The reversal of 199540704 is 407045991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36519 + ... + 41625.

It is an arithmetic number, because the mean of its divisors is an integer number (6114276).

Almost surely, 2199540704 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 199540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293485248).

199540704 is an abundant number, since it is smaller than the sum of its proper divisors (387429792).

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

199540704 is a wasteful number, since it uses less digits than its factorization.

199540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 199540704 is about 14125.8877243167. The cubic root of 199540704 is about 584.3555413045.

The spelling of 199540704 in words is "one hundred ninety-nine million, five hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 5107 6512 9768 10214 13024 15321 19536 20428 30642 39072 40856 56177 61284 81712 112354 122568 163424 168531 188959 224708 245136 337062 377918 449416 490272 566877 674124 755836 898832 1133754 1348248 1511672 1797664 2078549 2267508 2696496 3023344 4157098 4535016 5392992 6046688 6235647 8314196 9070032 12471294 16628392 18140064 24942588 33256784 49885176 66513568 99770352 199540704