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1914768 = 243213297
BaseRepresentation
bin111010011011110010000
310121021120100
413103132100
5442233033
6105012400
722163262
oct7233620
93537510
101914768
111098659
12784100
135206cb
1437bb32
1527c513
hex1d3790

1914768 has 30 divisors (see below), whose sum is σ = 5359094. Its totient is φ = 638208.

The previous prime is 1914767. The next prime is 1914769. The reversal of 1914768 is 8674191.

It is an interprime number because it is at equal distance from previous prime (1914767) and next prime (1914769).

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 898704 = 1008^2 + 948^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1914767) 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 5 ways as a sum of consecutive naturals, for example, 6505 + ... + 6792.

21914768 is an apocalyptic number.

1914768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1914768 is an abundant number, since it is smaller than the sum of its proper divisors (3444326).

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

1914768 is a wasteful number, since it uses less digits than its factorization.

1914768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13302 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1914768 is about 1383.7514227635. The cubic root of 1914768 is about 124.1763014209.

The spelling of 1914768 in words is "one million, nine hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13297 26594 39891 53188 79782 106376 119673 159564 212752 239346 319128 478692 638256 957384 1914768