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1398684672 = 2103571173
BaseRepresentation
bin101001101011110…
…0011110000000000
310121110212112200000
41103113203300000
510331030402142
6350442400000
746442423610
oct12327436000
93543775600
101398684672
11658580550
12330500000
13193a0ab88
14d3a8ca40
1582bd514c
hex535e3c00

1398684672 has 528 divisors, whose sum is σ = 5293247232. Its totient is φ = 358318080.

The previous prime is 1398684667. The next prime is 1398684737. The reversal of 1398684672 is 2764868931.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19160028 + ... + 19160100.

Almost surely, 21398684672 is an apocalyptic number.

1398684672 is a gapful number since it is divisible by the number (12) 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 1398684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646623616).

1398684672 is an abundant number, since it is smaller than the sum of its proper divisors (3894562560).

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

1398684672 is an equidigital number, since it uses as much as digits as its factorization.

1398684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1398684672 is about 37398.9929276177. The cubic root of 1398684672 is about 1118.3384887609.

The spelling of 1398684672 in words is "one billion, three hundred ninety-eight million, six hundred eighty-four thousand, six hundred seventy-two".