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1398747900 = 2235211331113
BaseRepresentation
bin101001101011111…
…0011001011111100
310121110222202101210
41103113303023330
510331034413100
6350444004420
746443106134
oct12327631374
93543882353
101398747900
11658614000
12330530710
13193a308a4
14d3aa7ac4
1582be8c50
hex535f32fc

1398747900 has 288 divisors, whose sum is σ = 4635703296. Its totient is φ = 325248000.

The previous prime is 1398747899. The next prime is 1398747919. The reversal of 1398747900 is 97478931.

It is a self number, because there is not a number n which added to its sum of digits gives 1398747900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12378244 + ... + 12378356.

It is an arithmetic number, because the mean of its divisors is an integer number (16096192).

Almost surely, 21398747900 is an apocalyptic number.

1398747900 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 1398747900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317851648).

1398747900 is an abundant number, since it is smaller than the sum of its proper divisors (3236955396).

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

1398747900 is a wasteful number, since it uses less digits than its factorization.

1398747900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 1398747900 is about 37399.8382349443. The cubic root of 1398747900 is about 1118.3553401265.

The spelling of 1398747900 in words is "one billion, three hundred ninety-eight million, seven hundred forty-seven thousand, nine hundred".