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195784240 = 24517359401
BaseRepresentation
bin10111010101101…
…10111000110000
3111122101212111011
423222312320300
5400110043430
631232200304
74565065351
oct1352667060
9448355434
10195784240
11a0573663
1255699094
133173c482
141c005d28
15122c522a
hexbab6e30

195784240 has 80 divisors (see below), whose sum is σ = 484522560. Its totient is φ = 73318400.

The previous prime is 195784229. The next prime is 195784271. The reversal of 195784240 is 42487591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 195784193 and 195784202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488040 + ... + 488440.

It is an arithmetic number, because the mean of its divisors is an integer number (6056532).

Almost surely, 2195784240 is an apocalyptic number.

195784240 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 195784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242261280).

195784240 is an abundant number, since it is smaller than the sum of its proper divisors (288738320).

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

195784240 is a wasteful number, since it uses less digits than its factorization.

195784240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 195784240 is about 13992.2921639022. The cubic root of 195784240 is about 580.6653482242.

The spelling of 195784240 in words is "one hundred ninety-five million, seven hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 359 401 680 718 802 1360 1436 1604 1795 2005 2872 3208 3590 4010 5744 6103 6416 6817 7180 8020 12206 13634 14360 16040 24412 27268 28720 30515 32080 34085 48824 54536 61030 68170 97648 109072 122060 136340 143959 244120 272680 287918 488240 545360 575836 719795 1151672 1439590 2303344 2447303 2879180 4894606 5758360 9789212 11516720 12236515 19578424 24473030 39156848 48946060 97892120 195784240