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1948068 = 2232531021
BaseRepresentation
bin111011011100110100100
310122222020200
413123212210
5444314233
6105430500
722362333
oct7334644
93588220
101948068
111110681
1279b430
13532905
14389d1a
15287313
hex1db9a4

1948068 has 36 divisors (see below), whose sum is σ = 5022108. Its totient is φ = 636480.

The previous prime is 1948049. The next prime is 1948069. The reversal of 1948068 is 8608491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 675684 = 1128^2 + 822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (1948069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 2418.

It is an arithmetic number, because the mean of its divisors is an integer number (139503).

21948068 is an apocalyptic number.

1948068 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 1948068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511054).

1948068 is an abundant number, since it is smaller than the sum of its proper divisors (3074040).

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

1948068 is a wasteful number, since it uses less digits than its factorization.

1948068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1948068 is about 1395.7320659783. The cubic root of 1948068 is about 124.8920240898.

The spelling of 1948068 in words is "one million, nine hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1021 1908 2042 3063 4084 6126 9189 12252 18378 36756 54113 108226 162339 216452 324678 487017 649356 974034 1948068