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1398628 = 2271119239
BaseRepresentation
bin101010101011101100100
32122001120001
411111131210
5324224003
645551044
714613430
oct5253544
92561501
101398628
118758a0
12575484
1339c7ba
142859c0
151c961d
hex155764

1398628 has 48 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 514080.

The previous prime is 1398623. The next prime is 1398659. The reversal of 1398628 is 8268931.

1398628 is a nontrivial binomial coefficient, being equal to C(1673, 2).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398623) 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 15 ways as a sum of consecutive naturals, for example, 5733 + ... + 5971.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

21398628 is an apocalyptic number.

1398628 is the 1672-nd triangular number.

1398628 is the 558-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1398628 is an abundant number, since it is smaller than the sum of its proper divisors (1826972).

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

1398628 is a wasteful number, since it uses less digits than its factorization.

1398628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 1398628 is about 1182.6360386865. The cubic root of 1398628 is about 111.8323384252.

The spelling of 1398628 in words is "one million, three hundred ninety-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 239 266 308 418 478 532 836 956 1463 1673 2629 2926 3346 4541 5258 5852 6692 9082 10516 18164 18403 31787 36806 49951 63574 73612 99902 127148 199804 349657 699314 1398628