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1413601200 = 2433521173163
BaseRepresentation
bin101010001000001…
…1101011110110000
310122111221101022000
41110100131132300
510343340214300
6352134214000
750013261204
oct12420353660
93574841260
101413601200
11665a39560
123354b4300
13196b3151b
14d5a52b04
158417ec00
hex5441d7b0

1413601200 has 480 divisors, whose sum is σ = 5598094080. Its totient is φ = 335923200.

The previous prime is 1413601193. The next prime is 1413601207. The reversal of 1413601200 is 21063141.

It is a happy number.

1413601200 is a `hidden beast` number, since 1 + 41 + 3 + 601 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1413601193) and next prime (1413601207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1413601207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8672319 + ... + 8672481.

It is an arithmetic number, because the mean of its divisors is an integer number (11662696).

Almost surely, 21413601200 is an apocalyptic number.

1413601200 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 1413601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799047040).

1413601200 is an abundant number, since it is smaller than the sum of its proper divisors (4184492880).

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

1413601200 is a wasteful number, since it uses less digits than its factorization.

1413601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1413601200 is about 37597.8882385700. Note that the first 3 decimals coincide. The cubic root of 1413601200 is about 1122.3000141407.

Adding to 1413601200 its reverse (21063141), we get a palindrome (1434664341).

The spelling of 1413601200 in words is "one billion, four hundred thirteen million, six hundred one thousand, two hundred".