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5690131200 = 2833521317149
BaseRepresentation
bin1010100110010100…
…01000001100000000
3112200112222121121000
411103022020030000
543123133144300
62340343132000
7261002213535
oct52312101400
915615877530
105690131200
11245aa26876
121129744000
136c8b24050
143bd9cad8c
15234829c00
hex153288300

5690131200 has 864 divisors, whose sum is σ = 23951592000. Its totient is φ = 1309409280.

The previous prime is 5690131163. The next prime is 5690131231. The reversal of 5690131200 is 21310965.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188726 + ... + 38188874.

It is an arithmetic number, because the mean of its divisors is an integer number (27721750).

Almost surely, 25690131200 is an apocalyptic number.

5690131200 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 5690131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975796000).

5690131200 is an abundant number, since it is smaller than the sum of its proper divisors (18261460800).

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

5690131200 is a wasteful number, since it uses less digits than its factorization.

5690131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5690131200 is about 75432.9583139890. The cubic root of 5690131200 is about 1785.2844684685.

The spelling of 5690131200 in words is "five billion, six hundred ninety million, one hundred thirty-one thousand, two hundred".