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5916064 = 257511
BaseRepresentation
bin10110100100010110100000
3102010120022111
4112210112200
53003303224
6330445104
7101200000
oct26442640
912116274
105916064
113380910
121b93794
1312c1a3b
14b00000
157bcd94
hex5a45a0

5916064 has 72 divisors (see below), whose sum is σ = 14823648. Its totient is φ = 2304960.

The previous prime is 5916061. The next prime is 5916077. The reversal of 5916064 is 4606195.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5916061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537819 + ... + 537829.

It is an arithmetic number, because the mean of its divisors is an integer number (205884).

Almost surely, 25916064 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 5916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411824).

5916064 is an abundant number, since it is smaller than the sum of its proper divisors (8907584).

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

5916064 is an frugal number, since it uses more digits than its factorization.

5916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5916064 is about 2432.2960346142. The cubic root of 5916064 is about 180.8607335056.

The spelling of 5916064 in words is "five million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 343 352 392 539 616 686 784 1078 1232 1372 1568 2156 2401 2464 2744 3773 4312 4802 5488 7546 8624 9604 10976 15092 16807 17248 19208 26411 30184 33614 38416 52822 60368 67228 76832 105644 120736 134456 184877 211288 268912 369754 422576 537824 739508 845152 1479016 2958032 5916064