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3195000 = 23325471
BaseRepresentation
bin1100001100000001111000
320000022201100
430030001320
51304220000
6152251400
736104604
oct14140170
96008640
103195000
1118924a6
1210a0b60
1387b343
145d2504
15431a00
hex30c078

3195000 has 120 divisors (see below), whose sum is σ = 10965240. Its totient is φ = 840000.

The previous prime is 3194981. The next prime is 3195001. The reversal of 3195000 is 5913.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3195001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44965 + ... + 45035.

It is an arithmetic number, because the mean of its divisors is an integer number (91377).

Almost surely, 23195000 is an apocalyptic number.

3195000 is a gapful number since it is divisible by the number (30) 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 3195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482620).

3195000 is an abundant number, since it is smaller than the sum of its proper divisors (7770240).

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

3195000 is a wasteful number, since it uses less digits than its factorization.

3195000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 3195000 is about 1787.4562931719. The cubic root of 3195000 is about 147.2844692804.

The spelling of 3195000 in words is "three million, one hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 90 100 120 125 142 150 180 200 213 225 250 284 300 355 360 375 426 450 500 568 600 625 639 710 750 852 900 1000 1065 1125 1250 1278 1420 1500 1704 1775 1800 1875 2130 2250 2500 2556 2840 3000 3195 3550 3750 4260 4500 5000 5112 5325 5625 6390 7100 7500 8520 8875 9000 10650 11250 12780 14200 15000 15975 17750 21300 22500 25560 26625 31950 35500 42600 44375 45000 53250 63900 71000 79875 88750 106500 127800 133125 159750 177500 213000 266250 319500 355000 399375 532500 639000 798750 1065000 1597500 3195000