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16195140 = 2234513769
BaseRepresentation
bin111101110001…
…111001000100
31010110210120000
4331301321010
513121221030
61335041300
7254441103
oct75617104
933423500
1016195140
119161715
125510230
133480630
14221803a
15164d860
hexf71e44

16195140 has 120 divisors (see below), whose sum is σ = 54783960. Its totient is φ = 3981312.

The previous prime is 16195139. The next prime is 16195183. The reversal of 16195140 is 4159161.

16195140 is a `hidden beast` number, since 1 + 619 + 5 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 16112196 = 288^2 + 4014^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 20676 + ... + 21444.

It is an arithmetic number, because the mean of its divisors is an integer number (456533).

Almost surely, 216195140 is an apocalyptic number.

16195140 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 16195140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391980).

16195140 is an abundant number, since it is smaller than the sum of its proper divisors (38588820).

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

16195140 is a wasteful number, since it uses less digits than its factorization.

16195140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 16195140 is about 4024.3185758585. The cubic root of 16195140 is about 253.0044940798.

The spelling of 16195140 in words is "sixteen million, one hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 769 780 810 1053 1170 1404 1538 1620 1755 2106 2307 2340 3076 3510 3845 4212 4614 5265 6921 7020 7690 9228 9997 10530 11535 13842 15380 19994 20763 21060 23070 27684 29991 34605 39988 41526 46140 49985 59982 62289 69210 83052 89973 99970 103815 119964 124578 138420 149955 179946 199940 207630 249156 269919 299910 311445 359892 415260 449865 539838 599820 622890 809757 899730 1079676 1245780 1349595 1619514 1799460 2699190 3239028 4048785 5398380 8097570 16195140