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2104267200 = 26352762627
BaseRepresentation
bin111110101101100…
…1001000111000000
312102122112211221020
41331123021013000
513302143022300
6544445425440
7103100655540
oct17533110700
95378484836
102104267200
1198a893102
124a886b280
13276c53229
1415d67b320
15c4b0b8a0
hex7d6c91c0

2104267200 has 168 divisors, whose sum is σ = 7890125952. Its totient is φ = 480967680.

The previous prime is 2104267189. The next prime is 2104267201. The reversal of 2104267200 is 27624012.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104267201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287 + ... + 64913.

Almost surely, 22104267200 is an apocalyptic number.

2104267200 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 2104267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945062976).

2104267200 is an abundant number, since it is smaller than the sum of its proper divisors (5785858752).

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

2104267200 is a wasteful number, since it uses less digits than its factorization.

2104267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62659 (or 62644 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2104267200 is about 45872.2922906628. The cubic root of 2104267200 is about 1281.4459570996.

The spelling of 2104267200 in words is "two billion, one hundred four million, two hundred sixty-seven thousand, two hundred".