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195080520 = 2335312292
BaseRepresentation
bin10111010000010…
…11000101001000
3111121002010011110
423220023011020
5344420034040
631205130320
74556104605
oct1350130510
9447063143
10195080520
11a0132978
12553b99a0
133155407b
141bca16ac
15121d6980
hexba0b148

195080520 has 96 divisors (see below), whose sum is σ = 606769920. Its totient is φ = 50123520.

The previous prime is 195080497. The next prime is 195080527. The reversal of 195080520 is 25080591.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (195080527) 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 23 ways as a sum of consecutive naturals, for example, 851766 + ... + 851994.

It is an arithmetic number, because the mean of its divisors is an integer number (6320520).

Almost surely, 2195080520 is an apocalyptic number.

195080520 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 195080520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303384960).

195080520 is an abundant number, since it is smaller than the sum of its proper divisors (411689400).

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

195080520 is a wasteful number, since it uses less digits than its factorization.

195080520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 195080520 is about 13967.1228246908. The cubic root of 195080520 is about 579.9688052981.

The spelling of 195080520 in words is "one hundred ninety-five million, eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 229 248 310 372 458 465 620 687 744 916 930 1145 1240 1374 1832 1860 2290 2748 3435 3720 4580 5496 6870 7099 9160 13740 14198 21297 27480 28396 35495 42594 52441 56792 70990 85188 104882 106485 141980 157323 170376 209764 212970 262205 283960 314646 419528 425940 524410 629292 786615 851880 1048820 1258584 1573230 1625671 2097640 3146460 3251342 4877013 6292920 6502684 8128355 9754026 13005368 16256710 19508052 24385065 32513420 39016104 48770130 65026840 97540260 195080520