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2060348400 = 243552114147
BaseRepresentation
bin111101011001110…
…0110101111110000
312022120220112200000
41322303212233300
513204422122100
6540240230000
7102025446435
oct17263465760
95276815600
102060348400
11968016280
1249600b300
1326ab16a86
141578c7b8c
15c0d33900
hex7ace6bf0

2060348400 has 720 divisors, whose sum is σ = 8462458368. Its totient is φ = 476928000.

The previous prime is 2060348377. The next prime is 2060348419. The reversal of 2060348400 is 48430602.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43837177 + ... + 43837223.

Almost surely, 22060348400 is an apocalyptic number.

2060348400 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 2060348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231229184).

2060348400 is an abundant number, since it is smaller than the sum of its proper divisors (6402109968).

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

2060348400 is a wasteful number, since it uses less digits than its factorization.

2060348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2060348400 is about 45391.0607939493. The cubic root of 2060348400 is about 1272.4680548769.

The spelling of 2060348400 in words is "two billion, sixty million, three hundred forty-eight thousand, four hundred".