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6129904 = 2411291201
BaseRepresentation
bin10111011000100011110000
3102112102122111
4113120203300
53032124104
6335215104
7103050304
oct27304360
912472574
106129904
113507540
122077494
131368181
14b57d04
15811404
hex5d88f0

6129904 has 40 divisors (see below), whose sum is σ = 13414320. Its totient is φ = 2688000.

The previous prime is 6129899. The next prime is 6129919. The reversal of 6129904 is 4099216.

It is a happy number.

6129904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4504 + ... + 5704.

It is an arithmetic number, because the mean of its divisors is an integer number (335358).

Almost surely, 26129904 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 6129904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707160).

6129904 is an abundant number, since it is smaller than the sum of its proper divisors (7284416).

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

6129904 is a wasteful number, since it uses less digits than its factorization.

6129904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 6129904 is about 2475.8642935347. The cubic root of 6129904 is about 183.0141030468.

The spelling of 6129904 in words is "six million, one hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1201 1276 2402 2552 4804 5104 9608 13211 19216 26422 34829 52844 69658 105688 139316 211376 278632 383119 557264 766238 1532476 3064952 6129904