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195430580 = 22519618431
BaseRepresentation
bin10111010011000…
…00100010110100
3111121201220100122
423221200202310
5400012234310
631220431112
74562063312
oct1351404264
9447656318
10195430580
11a0351984
1255548498
13316474c7
141bd530b2
1512255555
hexba608b4

195430580 has 48 divisors (see below), whose sum is σ = 439138560. Its totient is φ = 72835200.

The previous prime is 195430579. The next prime is 195430583. The reversal of 195430580 is 85034591.

It is a super-3 number, since 3×1954305803 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 195430580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195430583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18965 + ... + 27395.

It is an arithmetic number, because the mean of its divisors is an integer number (9148720).

Almost surely, 2195430580 is an apocalyptic number.

195430580 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 195430580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569280).

195430580 is an abundant number, since it is smaller than the sum of its proper divisors (243707980).

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

195430580 is a wasteful number, since it uses less digits than its factorization.

195430580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 195430580 is about 13979.6487795652. The cubic root of 195430580 is about 580.3155041261.

The spelling of 195430580 in words is "one hundred ninety-five million, four hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 4636 5795 8431 11590 16862 23180 33724 42155 84310 160189 168620 320378 514291 640756 800945 1028582 1601890 2057164 2571455 3203780 5142910 9771529 10285820 19543058 39086116 48857645 97715290 195430580