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195140160 = 2632567757
BaseRepresentation
bin10111010000110…
…01101001000000
3111121012010222100
423220121221000
5344423441120
631210310400
74556443515
oct1350315100
9447163870
10195140160
11a0173766
1255428400
1331575267
141bcb930c
15121e9490
hexba19a40

195140160 has 84 divisors (see below), whose sum is σ = 671210748. Its totient is φ = 52036608.

The previous prime is 195140137. The next prime is 195140207. The reversal of 195140160 is 61041591.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 55711296 = 11808^2 + 7464^2 .

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 11 ways as a sum of consecutive naturals, for example, 30999 + ... + 36758.

Almost surely, 2195140160 is an apocalyptic number.

195140160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195140160 is an abundant number, since it is smaller than the sum of its proper divisors (476070588).

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

195140160 is a wasteful number, since it uses less digits than its factorization.

195140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67780 (or 67767 counting only the distinct ones).

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

The square root of 195140160 is about 13969.2576753384. The cubic root of 195140160 is about 580.0279019474.

The spelling of 195140160 in words is "one hundred ninety-five million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 67757 135514 203271 271028 338785 406542 542056 609813 677570 813084 1016355 1084112 1219626 1355140 1626168 2032710 2168224 2439252 2710280 3049065 3252336 4065420 4336448 4878504 5420560 6098130 6504672 8130840 9757008 10841120 12196260 13009344 16261680 19514016 21682240 24392520 32523360 39028032 48785040 65046720 97570080 195140160