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6129040 = 245233331
BaseRepresentation
bin10111011000010110010000
3102112101110111
4113120112100
53032112130
6335211104
7103044631
oct27302620
912471414
106129040
113506925
122076a94
131367968
14b57888
1581102a
hex5d8590

6129040 has 40 divisors (see below), whose sum is σ = 14874048. Its totient is φ = 2344320.

The previous prime is 6129029. The next prime is 6129043. The reversal of 6129040 is 409216.

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

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6129043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 3505.

Almost surely, 26129040 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 6129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437024).

6129040 is an abundant number, since it is smaller than the sum of its proper divisors (8745008).

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

6129040 is a wasteful number, since it uses less digits than its factorization.

6129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6129040 is about 2475.6898028630. The cubic root of 6129040 is about 183.0055041294.

The spelling of 6129040 in words is "six million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 3331 6662 13324 16655 26648 33310 53296 66620 76613 133240 153226 266480 306452 383065 612904 766130 1225808 1532260 3064520 6129040