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5703678400 = 26527319547
BaseRepresentation
bin1010100111111011…
…10011100111000000
3112201111110212212011
411103331303213000
543140120202100
62341545342304
7261225316000
oct52375634700
915644425764
105703678400
11246763a002
121132197994
136cb888344
143c1716000
15235b03bba
hex153f739c0

5703678400 has 336 divisors, whose sum is σ = 17259808000. Its totient is φ = 1849236480.

The previous prime is 5703678389. The next prime is 5703678401. The reversal of 5703678400 is 48763075.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5703678401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10426927 + ... + 10427473.

Almost surely, 25703678400 is an apocalyptic number.

5703678400 is a gapful number since it is divisible by the number (50) 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 5703678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629904000).

5703678400 is an abundant number, since it is smaller than the sum of its proper divisors (11556129600).

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

5703678400 is a wasteful number, since it uses less digits than its factorization.

5703678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 5703678400 is about 75522.7012228774. The cubic root of 5703678400 is about 1786.7001614968.

The spelling of 5703678400 in words is "five billion, seven hundred three million, six hundred seventy-eight thousand, four hundred".