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195831960 = 23353161863
BaseRepresentation
bin10111010110000…
…10100010011000
3111122111021221120
423223002202120
5400113110320
631233205240
74565354442
oct1353024230
9448437846
10195831960
11a05a64a5
1255700820
13317580cc
141c019492
15122d4440
hexbac2898

195831960 has 128 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 49651200.

The previous prime is 195831947. The next prime is 195831967. The reversal of 195831960 is 69138591.

It is a Smith number, since the sum of its digits (42) 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 (195831967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226489 + ... + 227351.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2195831960 is an apocalyptic number.

195831960 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 195831960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

195831960 is an abundant number, since it is smaller than the sum of its proper divisors (421271400).

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

195831960 is a wasteful number, since it uses less digits than its factorization.

195831960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 195831960 is about 13993.9972845503. The cubic root of 195831960 is about 580.7125210703.

The spelling of 195831960 in words is "one hundred ninety-five million, eight hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 863 915 930 1220 1240 1464 1726 1830 1860 1891 2440 2589 3452 3660 3720 3782 4315 5178 5673 6904 7320 7564 8630 9455 10356 11346 12945 15128 17260 18910 20712 22692 25890 26753 28365 34520 37820 45384 51780 52643 53506 56730 75640 80259 103560 105286 107012 113460 133765 157929 160518 210572 214024 226920 263215 267530 315858 321036 401295 421144 526430 535060 631716 642072 789645 802590 1052860 1070120 1263432 1579290 1605180 1631933 2105720 3158580 3210360 3263866 4895799 6317160 6527732 8159665 9791598 13055464 16319330 19583196 24478995 32638660 39166392 48957990 65277320 97915980 195831960