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195495960 = 233511295107
BaseRepresentation
bin10111010011100…
…00100000011000
3111121212020001010
423221300200120
5400021332320
631222053520
74562455032
oct1351604030
9447766033
10195495960
11a0397010
125557a2a0
133166b1aa
141bd6cc52
1512269ae0
hexba70818

195495960 has 128 divisors (see below), whose sum is σ = 661996800. Its totient is φ = 45749760.

The previous prime is 195495953. The next prime is 195495961. The reversal of 195495960 is 69594591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195495961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35727 + ... + 40833.

It is an arithmetic number, because the mean of its divisors is an integer number (5171850).

Almost surely, 2195495960 is an apocalyptic number.

195495960 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 195495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330998400).

195495960 is an abundant number, since it is smaller than the sum of its proper divisors (466500840).

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

195495960 is a wasteful number, since it uses less digits than its factorization.

195495960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 195495960 is about 13981.9869832581. The cubic root of 195495960 is about 580.3802104743.

The spelling of 195495960 in words is "one hundred ninety-five million, four hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 5107 6380 7656 9570 10214 12760 15321 19140 20428 25535 30642 38280 40856 51070 56177 61284 76605 102140 112354 122568 148103 153210 168531 204280 224708 280885 296206 306420 337062 444309 449416 561770 592412 612840 674124 740515 842655 888618 1123540 1184824 1348248 1481030 1629133 1685310 1777236 2221545 2247080 2962060 3258266 3370620 3554472 4443090 4887399 5924120 6516532 6741240 8145665 8886180 9774798 13033064 16291330 17772360 19549596 24436995 32582660 39099192 48873990 65165320 97747980 195495960