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2675030400 = 27335274423
BaseRepresentation
bin1001111101110001…
…1011100110000000
320220102112121212000
42133130123212000
520434301433100
61121235104000
7123201245310
oct23734334600
96812477760
102675030400
111152a91a29
12627a42000
13338283333
141b53b3440
15109ca1900
hex9f71b980

2675030400 has 384 divisors, whose sum is σ = 11190950400. Its totient is φ = 611297280.

The previous prime is 2675030389. The next prime is 2675030411. The reversal of 2675030400 is 40305762.

It is a happy number.

2675030400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2675030389) and next prime (2675030411).

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602589 + ... + 607011.

It is an arithmetic number, because the mean of its divisors is an integer number (29143100).

Almost surely, 22675030400 is an apocalyptic number.

2675030400 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 2675030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595475200).

2675030400 is an abundant number, since it is smaller than the sum of its proper divisors (8515920000).

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

2675030400 is a wasteful number, since it uses less digits than its factorization.

2675030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2675030400 is about 51720.6960510007. The cubic root of 2675030400 is about 1388.1708078488.

The spelling of 2675030400 in words is "two billion, six hundred seventy-five million, thirty thousand, four hundred".