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1411898400 = 2532521117827
BaseRepresentation
bin101010000100111…
…1101110000100000
310122101201212111100
41110021331300200
510342421222100
6352033514400
746662636603
oct12411756040
93571655440
101411898400
11664a86190
12334a12a00
13196686453
14d572c33a
1583e45400
hex5427dc20

1411898400 has 216 divisors, whose sum is σ = 5431621104. Its totient is φ = 342259200.

The previous prime is 1411898393. The next prime is 1411898407. The reversal of 1411898400 is 48981141.

It is an interprime number because it is at equal distance from previous prime (1411898393) and next prime (1411898407).

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 (1411898407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70287 + ... + 88113.

It is an arithmetic number, because the mean of its divisors is an integer number (25146394).

Almost surely, 21411898400 is an apocalyptic number.

1411898400 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 1411898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715810552).

1411898400 is an abundant number, since it is smaller than the sum of its proper divisors (4019722704).

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

1411898400 is a wasteful number, since it uses less digits than its factorization.

1411898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17864 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1411898400 is about 37575.2365262017. The cubic root of 1411898400 is about 1121.8491985645.

It can be divided in two parts, 1411 and 898400, that added together give a triangular number (899811 = T1341).

The spelling of 1411898400 in words is "one billion, four hundred eleven million, eight hundred ninety-eight thousand, four hundred".