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195729940 = 22575772423
BaseRepresentation
bin10111010101010…
…01101000010100
3111122022010000001
423222221220110
5400101324230
631231101044
74564451140
oct1352515024
9448263001
10195729940
11a053688a
1255671784
1331720843
141bdd0220
15122b40ca
hexbaa9a14

195729940 has 48 divisors (see below), whose sum is σ = 470760192. Its totient is φ = 66963456.

The previous prime is 195729923. The next prime is 195729943. The reversal of 195729940 is 49927591.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195729943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79569 + ... + 81991.

It is an arithmetic number, because the mean of its divisors is an integer number (9807504).

Almost surely, 2195729940 is an apocalyptic number.

195729940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195729940 is an abundant number, since it is smaller than the sum of its proper divisors (275030252).

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

195729940 is a wasteful number, since it uses less digits than its factorization.

195729940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The square root of 195729940 is about 13990.3516753511. The cubic root of 195729940 is about 580.6116614995.

The spelling of 195729940 in words is "one hundred ninety-five million, seven hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 577 1154 2308 2423 2885 4039 4846 5770 8078 9692 11540 12115 16156 16961 20195 24230 33922 40390 48460 67844 80780 84805 169610 339220 1398071 2796142 5592284 6990355 9786497 13980710 19572994 27961420 39145988 48932485 97864970 195729940