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1930968 = 2332132063
BaseRepresentation
bin111010111011011011000
310122002210100
413113123120
5443242333
6105215400
722261434
oct7273330
93562710
101930968
1110a9846
12791560
13527bb0
143839c4
15282213
hex1d76d8

1930968 has 48 divisors (see below), whose sum is σ = 5634720. Its totient is φ = 593856.

The previous prime is 1930963. The next prime is 1930969. The reversal of 1930968 is 8690391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (117390).

21930968 is an apocalyptic number.

1930968 is a gapful number since it is divisible by the number (18) 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 1930968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360).

1930968 is an abundant number, since it is smaller than the sum of its proper divisors (3703752).

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

1930968 is a wasteful number, since it uses less digits than its factorization.

1930968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1930968 is about 1389.5927460951. The cubic root of 1930968 is about 124.5255185510.

The spelling of 1930968 in words is "one million, nine hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2063 4126 6189 8252 12378 16504 18567 24756 26819 37134 49512 53638 74268 80457 107276 148536 160914 214552 241371 321828 482742 643656 965484 1930968