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6874656 = 253193769
BaseRepresentation
bin11010001110011000100000
3110221021020220
4122032120200
53224442111
6403203040
7112301505
oct32163040
913837226
106874656
113976038
122376480
131569159
14cad4ac
1590be06
hex68e620

6874656 has 48 divisors (see below), whose sum is σ = 19000800. Its totient is φ = 2170368.

The previous prime is 6874633. The next prime is 6874657. The reversal of 6874656 is 6564786.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6874657) 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, 61 + ... + 3708.

It is an arithmetic number, because the mean of its divisors is an integer number (395850).

Almost surely, 26874656 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 6874656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500400).

6874656 is an abundant number, since it is smaller than the sum of its proper divisors (12126144).

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

6874656 is a wasteful number, since it uses less digits than its factorization.

6874656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3793 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 6874656 is about 2621.9565213786. The cubic root of 6874656 is about 190.1444515533.

The spelling of 6874656 in words is "six million, eight hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3769 7538 11307 15076 22614 30152 45228 60304 71611 90456 120608 143222 180912 214833 286444 361824 429666 572888 859332 1145776 1718664 2291552 3437328 6874656