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6107424 = 253113563
BaseRepresentation
bin10111010011000100100000
3102111021210220
4113103010200
53030414144
6334523040
7102624621
oct27230440
912437726
106107424
1134a1664
122066480
13135ab7b
14b4da48
15809919
hex5d3120

6107424 has 48 divisors (see below), whose sum is σ = 16202592. Its totient is φ = 2014208.

The previous prime is 6107393. The next prime is 6107459. The reversal of 6107424 is 4247016.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6107394 and 6107403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10567 + ... + 11129.

It is an arithmetic number, because the mean of its divisors is an integer number (337554).

Almost surely, 26107424 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 6107424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101296).

6107424 is an abundant number, since it is smaller than the sum of its proper divisors (10095168).

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

6107424 is a wasteful number, since it uses less digits than its factorization.

6107424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6107424 is about 2471.3202949031. The cubic root of 6107424 is about 182.7901084271.

The spelling of 6107424 in words is "six million, one hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 563 678 904 1126 1356 1689 1808 2252 2712 3378 3616 4504 5424 6756 9008 10848 13512 18016 27024 54048 63619 127238 190857 254476 381714 508952 763428 1017904 1526856 2035808 3053712 6107424