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1968750 = 232567
BaseRepresentation
bin111100000101001101110
310201000121200
413200221232
51001000000
6110110330
722506540
oct7405156
93630550
101968750
111125173
127ab3a6
1353c154
14393690
1528d500
hex1e0a6e

1968750 has 84 divisors (see below), whose sum is σ = 6093672. Its totient is φ = 450000.

The previous prime is 1968749. The next prime is 1968751. The reversal of 1968750 is 578691.

It is an interprime number because it is at equal distance from previous prime (1968749) and next prime (1968751).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968751) 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 41 ways as a sum of consecutive naturals, for example, 281247 + ... + 281253.

21968750 is an apocalyptic number.

1968750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046836).

1968750 is an abundant number, since it is smaller than the sum of its proper divisors (4124922).

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

1968750 is an frugal number, since it uses more digits than its factorization.

1968750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1968750 is about 1403.1215200402. The cubic root of 1968750 is about 125.3324483741.

The spelling of 1968750 in words is "one million, nine hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 625 630 750 875 1050 1125 1250 1575 1750 1875 2250 2625 3125 3150 3750 4375 5250 5625 6250 7875 8750 9375 11250 13125 15625 15750 18750 21875 26250 28125 31250 39375 43750 46875 56250 65625 78750 93750 109375 131250 140625 196875 218750 281250 328125 393750 656250 984375 1968750