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2107200480 = 253571127173
BaseRepresentation
bin111110110011001…
…0101001111100000
312102212001212122020
41331212111033200
513303420403410
6545032341440
7103134623430
oct17546251740
95385055566
102107200480
11991506a00
124a9844880
1327773c3b8
1415dc022c0
15c4edaa70
hex7d9953e0

2107200480 has 576 divisors, whose sum is σ = 8571515904. Its totient is φ = 425779200.

The previous prime is 2107200461. The next prime is 2107200481. The reversal of 2107200480 is 840027012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2107200480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107200481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28865724 + ... + 28865796.

It is an arithmetic number, because the mean of its divisors is an integer number (14881104).

Almost surely, 22107200480 is an apocalyptic number.

2107200480 is a gapful number since it is divisible by the number (20) 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 2107200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285757952).

2107200480 is an abundant number, since it is smaller than the sum of its proper divisors (6464315424).

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

2107200480 is a wasteful number, since it uses less digits than its factorization.

2107200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2107200480 is about 45904.2533976973. The cubic root of 2107200480 is about 1282.0411119642.

Adding to 2107200480 its reverse (840027012), we get a palindrome (2947227492).

The spelling of 2107200480 in words is "two billion, one hundred seven million, two hundred thousand, four hundred eighty".