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1968260 = 225717827
BaseRepresentation
bin111100000100010000100
310200222221112
413200202010
51000441020
6110104152
722505240
oct7404204
93628845
101968260
111124868
127ab058
1353bb68
14393420
1528d2c5
hex1e0884

1968260 has 48 divisors (see below), whose sum is σ = 5007744. Its totient is φ = 634368.

The previous prime is 1968257. The next prime is 1968269. The reversal of 1968260 is 628691.

It is not an unprimeable number, because it can be changed into a prime (1968269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (104328).

21968260 is an apocalyptic number.

1968260 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 1968260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872).

1968260 is an abundant number, since it is smaller than the sum of its proper divisors (3039484).

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

1968260 is a wasteful number, since it uses less digits than its factorization.

1968260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1968260 is about 1402.9468984962. The cubic root of 1968260 is about 125.3220495601.

The spelling of 1968260 in words is "one million, nine hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 827 1190 1654 2380 3308 4135 5789 8270 11578 14059 16540 23156 28118 28945 56236 57890 70295 98413 115780 140590 196826 281180 393652 492065 984130 1968260