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6132000 = 25353773
BaseRepresentation
bin10111011001000100100000
3102112112112010
4113121010200
53032211000
6335232520
7103056360
oct27310440
912475463
106132000
113509076
122078740
131369104
14b589a0
15811d50
hex5d9120

6132000 has 192 divisors, whose sum is σ = 23272704. Its totient is φ = 1382400.

The previous prime is 6131999. The next prime is 6132029. The reversal of 6132000 is 2316.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 83964 + ... + 84036.

It is an arithmetic number, because the mean of its divisors is an integer number (121212).

Almost surely, 26132000 is an apocalyptic number.

6132000 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 6132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

6132000 is an abundant number, since it is smaller than the sum of its proper divisors (17140704).

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

6132000 is a wasteful number, since it uses less digits than its factorization.

6132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 6132000 is about 2476.2875438850. The cubic root of 6132000 is about 183.0349600264.

Adding to 6132000 its reverse (2316), we get a palindrome (6134316).

The spelling of 6132000 in words is "six million, one hundred thirty-two thousand".