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195947520 = 2103512757
BaseRepresentation
bin10111010110111…
…10110000000000
3111122201011110120
423223132300000
5400130310040
631235500240
74566345366
oct1353366000
9448634416
10195947520
11a06752aa
1255757680
13317988a2
141c049636
15123087d0
hexbadec00

195947520 has 88 divisors (see below), whose sum is σ = 626775024. Its totient is φ = 52248576.

The previous prime is 195947503. The next prime is 195947533. The reversal of 195947520 is 25749591.

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 7 ways as a sum of consecutive naturals, for example, 8982 + ... + 21738.

Almost surely, 2195947520 is an apocalyptic number.

195947520 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 195947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313387512).

195947520 is an abundant number, since it is smaller than the sum of its proper divisors (430827504).

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

195947520 is a wasteful number, since it uses less digits than its factorization.

195947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 195947520 is about 13998.1255888065. The cubic root of 195947520 is about 580.8267243279.

The spelling of 195947520 in words is "one hundred ninety-five million, nine hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 12757 15360 25514 38271 51028 63785 76542 102056 127570 153084 191355 204112 255140 306168 382710 408224 510280 612336 765420 816448 1020560 1224672 1530840 1632896 2041120 2449344 3061680 3265792 4082240 4898688 6123360 6531584 8164480 9797376 12246720 13063168 16328960 19594752 24493440 32657920 39189504 48986880 65315840 97973760 195947520