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195373620 = 22345139277
BaseRepresentation
bin10111010010100…
…10101000110100
3111121122000020000
423221102220310
5400003423440
631215311300
74561435251
oct1351225064
9447560200
10195373620
11a0313102
125551b530
13316275c0
141bd3a428
1512243730
hexba52a34

195373620 has 120 divisors (see below), whose sum is σ = 660111144. Its totient is φ = 48086784.

The previous prime is 195373597. The next prime is 195373627. The reversal of 195373620 is 26373591.

It can be written as a sum of positive squares in 4 ways, for example, as 16990884 + 178382736 = 4122^2 + 13356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195373627) 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 39 ways as a sum of consecutive naturals, for example, 16422 + ... + 25698.

Almost surely, 2195373620 is an apocalyptic number.

195373620 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 195373620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330055572).

195373620 is an abundant number, since it is smaller than the sum of its proper divisors (464737524).

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

195373620 is a wasteful number, since it uses less digits than its factorization.

195373620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 195373620 is about 13977.6113839239. The cubic root of 195373620 is about 580.2591192570.

The spelling of 195373620 in words is "one hundred ninety-five million, three hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 9277 10530 18554 21060 27831 37108 46385 55662 83493 92770 111324 120601 139155 166986 185540 241202 250479 278310 333972 361803 417465 482404 500958 556620 603005 723606 751437 834930 1001916 1085409 1206010 1252395 1447212 1502874 1669860 1809015 2170818 2412020 2504790 3005748 3256227 3618030 3757185 4341636 5009580 5427045 6512454 7236060 7514370 9768681 10854090 13024908 15028740 16281135 19537362 21708180 32562270 39074724 48843405 65124540 97686810 195373620