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6131064 = 2332329383
BaseRepresentation
bin10111011000110101111000
3102112111020110
4113120311320
53032143224
6335224320
7103053552
oct27306570
912474213
106131064
1135083a5
1220780a0
131368864
14b584d2
15811929
hex5d8d78

6131064 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1882496.

The previous prime is 6131057. The next prime is 6131077. The reversal of 6131064 is 4601316.

It is a self number, because there is not a number n which added to its sum of digits gives 6131064.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15817 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 26131064 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 6131064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

6131064 is an abundant number, since it is smaller than the sum of its proper divisors (10457736).

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

6131064 is a wasteful number, since it uses less digits than its factorization.

6131064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6131064 is about 2476.0985440810. The cubic root of 6131064 is about 183.0256466191.

It can be divided in two parts, 61 and 31064, that added together give a triangular number (31125 = T249).

The spelling of 6131064 in words is "six million, one hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 383 552 667 696 766 1149 1334 1532 2001 2298 2668 3064 4002 4596 5336 8004 8809 9192 11107 16008 17618 22214 26427 33321 35236 44428 52854 66642 70472 88856 105708 133284 211416 255461 266568 510922 766383 1021844 1532766 2043688 3065532 6131064