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195734016 = 293314159
BaseRepresentation
bin10111010101010…
…10101000000000
3111122022022121000
423222222220000
5400101442031
631231132000
74564466052
oct1352525000
9448268530
10195734016
11a0539955
1255674000
133172265a
141bdd18d2
15122b53e6
hexbaaaa00

195734016 has 80 divisors (see below), whose sum is σ = 579427200. Its totient is φ = 65240064.

The previous prime is 195733987. The next prime is 195734023. The reversal of 195734016 is 610437591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6745 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (7242840).

Almost surely, 2195734016 is an apocalyptic number.

195734016 is a gapful number since it is divisible by the number (16) 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 195734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289713600).

195734016 is an abundant number, since it is smaller than the sum of its proper divisors (383693184).

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

195734016 is an equidigital number, since it uses as much as digits as its factorization.

195734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186 (or 14164 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 195734016 is about 13990.4973464134. The cubic root of 195734016 is about 580.6156918090.

The spelling of 195734016 in words is "one hundred ninety-five million, seven hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 14159 28318 42477 56636 84954 113272 127431 169908 226544 254862 339816 382293 453088 509724 679632 764586 906176 1019448 1359264 1529172 1812352 2038896 2718528 3058344 3624704 4077792 5437056 6116688 7249408 8155584 10874112 12233376 16311168 21748224 24466752 32622336 48933504 65244672 97867008 195734016