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9378750240 = 25355463521
BaseRepresentation
bin10001011110000010…
…00101111100100000
3220012121202212200000
420233001011330200
5123201430001430
64150351100000
7451262030106
oct105701057440
926177685600
109378750240
113a83072962
121998b11600
13b66091672
1464d847c76
1539d593e60
hex22f045f20

9378750240 has 288 divisors, whose sum is σ = 33325883136. Its totient is φ = 2490808320.

The previous prime is 9378750239. The next prime is 9378750257. The reversal of 9378750240 is 420578739.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18001180 + ... + 18001700.

It is an arithmetic number, because the mean of its divisors is an integer number (115714872).

Almost surely, 29378750240 is an apocalyptic number.

9378750240 is a gapful number since it is divisible by the number (90) 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 9378750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662941568).

9378750240 is an abundant number, since it is smaller than the sum of its proper divisors (23947132896).

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

9378750240 is a wasteful number, since it uses less digits than its factorization.

9378750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 9378750240 is about 96843.9478749189. The cubic root of 9378750240 is about 2108.8627879870.

The spelling of 9378750240 in words is "nine billion, three hundred seventy-eight million, seven hundred fifty thousand, two hundred forty".