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1230707520 = 26355721719
BaseRepresentation
bin100100101011011…
…0001101101000000
310011202210102100000
41021112301231000
510010030120040
6322042200000
742332561400
oct11126615500
93152712300
101230707520
1158177a859
122a41b3000
13167c86503
14b9644800
15730a4130
hex495b1b40

1230707520 has 1008 divisors, whose sum is σ = 5691591360. Its totient is φ = 250822656.

The previous prime is 1230707497. The next prime is 1230707557. The reversal of 1230707520 is 257070321.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 64774071 + ... + 64774089.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 21230707520 is an apocalyptic number.

1230707520 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 1230707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

1230707520 is an abundant number, since it is smaller than the sum of its proper divisors (4460883840).

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

1230707520 is a wasteful number, since it uses less digits than its factorization.

1230707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1230707520 is about 35081.4412474744. The cubic root of 1230707520 is about 1071.6466682875.

Adding to 1230707520 its reverse (257070321), we get a palindrome (1487777841).

The spelling of 1230707520 in words is "one billion, two hundred thirty million, seven hundred seven thousand, five hundred twenty".