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6145000 = 23541229
BaseRepresentation
bin10111011100001111101000
3102120012100121
4113130033220
53033120000
6335413024
7103142311
oct27341750
912505317
106145000
113517914
122084174
131371cc4
14b5d608
15815b1a
hex5dc3e8

6145000 has 40 divisors (see below), whose sum is σ = 14409450. Its totient is φ = 2456000.

The previous prime is 6144991. The next prime is 6145019. The reversal of 6145000 is 5416.

It can be written as a sum of positive squares in 5 ways, for example, as 1136356 + 5008644 = 1066^2 + 2238^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×61450002 = 75522050000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4386 + ... + 5614.

Almost surely, 26145000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204725).

6145000 is an abundant number, since it is smaller than the sum of its proper divisors (8264450).

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

6145000 is a wasteful number, since it uses less digits than its factorization.

6145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 6145000 is about 2478.9110512481. The cubic root of 6145000 is about 183.1642150251.

The spelling of 6145000 in words is "six million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1229 1250 2458 2500 4916 5000 6145 9832 12290 24580 30725 49160 61450 122900 153625 245800 307250 614500 768125 1229000 1536250 3072500 6145000