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1200204096 = 26371373941
BaseRepresentation
bin100011110001001…
…1010100101000000
310002122101200111120
41013202122211000
54424223012341
6315032312240
741512365210
oct10742324500
93078350446
101200204096
11566536113
12295b42680
13161866350
14b5584240
157057b066
hex4789a940

1200204096 has 224 divisors, whose sum is σ = 3966106368. Its totient is φ = 311869440.

The previous prime is 1200204067. The next prime is 1200204107. The reversal of 1200204096 is 6904020021.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274986 + ... + 1275926.

It is an arithmetic number, because the mean of its divisors is an integer number (17705832).

Almost surely, 21200204096 is an apocalyptic number.

1200204096 is a gapful number since it is divisible by the number (16) 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 1200204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983053184).

1200204096 is an abundant number, since it is smaller than the sum of its proper divisors (2765902272).

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

1200204096 is a wasteful number, since it uses less digits than its factorization.

1200204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1200204096 is about 34643.9618981432. The cubic root of 1200204096 is about 1062.7188114239.

The spelling of 1200204096 in words is "one billion, two hundred million, two hundred four thousand, ninety-six".