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1968300 = 223952
BaseRepresentation
bin111100000100010101100
310201000000000
413200202230
51000441200
6110104300
722505325
oct7404254
93630000
101968300
1111248a4
127ab090
1353bb99
1439344c
1528d300
hex1e08ac

1968300 has 90 divisors (see below), whose sum is σ = 6406708. Its totient is φ = 524880.

The previous prime is 1968293. The next prime is 1968301. The reversal of 1968300 is 38691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1968301) 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, 393658 + ... + 393662.

21968300 is an apocalyptic number.

1968300 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 1968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203354).

1968300 is an abundant number, since it is smaller than the sum of its proper divisors (4438408).

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

1968300 is an frugal number, since it uses more digits than its factorization.

1968300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1968300 is about 1402.9611541308. The cubic root of 1968300 is about 125.3228985075.

Multiplying 1968300 by its sum of digits (27), we get a square (53144100 = 72902).

1968300 divided by its sum of digits (27) gives a square (72900 = 2702).

The spelling of 1968300 in words is "one million, nine hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2187 2430 2700 2916 3645 4050 4374 4860 6075 6561 7290 8100 8748 10935 12150 13122 14580 18225 19683 21870 24300 26244 32805 36450 39366 43740 54675 65610 72900 78732 98415 109350 131220 164025 196830 218700 328050 393660 492075 656100 984150 1968300