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6023089800 = 233352721317103
BaseRepresentation
bin1011001110000000…
…10000111010001000
3120112202111122221000
411213000100322020
544313402333200
62433355415000
7302154263400
oct54700207210
916482448830
106023089800
112610971572
121201154460
1374cac1680
14411cdd800
15253b99300
hex167010e88

6023089800 has 1152 divisors, whose sum is σ = 27785721600. Its totient is φ = 1184440320.

The previous prime is 6023089799. The next prime is 6023089811. The reversal of 6023089800 is 89803206.

It is a super-2 number, since 2×60230898002 = 72555221477728080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58476549 + ... + 58476651.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 26023089800 is an apocalyptic number.

6023089800 is a gapful number since it is divisible by the number (60) 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 6023089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

6023089800 is an abundant number, since it is smaller than the sum of its proper divisors (21762631800).

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

6023089800 is a wasteful number, since it uses less digits than its factorization.

6023089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6023089800 is about 77608.5678259817. The cubic root of 6023089800 is about 1819.4485508798.

The spelling of 6023089800 in words is "six billion, twenty-three million, eighty-nine thousand, eight hundred".