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6145664 = 277193
BaseRepresentation
bin10111011100011010000000
3102120020021012
4113130122000
53033130124
6335420052
7103144250
oct27343200
912506235
106145664
113518368
122084628
1313723b5
14b5d960
15815e0e
hex5dc680

6145664 has 64 divisors (see below), whose sum is σ = 14769600. Its totient is φ = 2495232.

The previous prime is 6145661. The next prime is 6145693. The reversal of 6145664 is 4665416.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6145664.

It is not an unprimeable number, because it can be changed into a prime (6145661) 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, 323447 + ... + 323465.

It is an arithmetic number, because the mean of its divisors is an integer number (230775).

Almost surely, 26145664 is an apocalyptic number.

6145664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384800).

6145664 is an abundant number, since it is smaller than the sum of its proper divisors (8623936).

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

6145664 is an frugal number, since it uses more digits than its factorization.

6145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 6145664 is about 2479.0449774056. The cubic root of 6145664 is about 183.1708120773.

The spelling of 6145664 in words is "six million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 361 448 532 608 722 896 1064 1216 1444 2128 2432 2527 2888 4256 5054 5776 6859 8512 10108 11552 13718 17024 20216 23104 27436 40432 46208 48013 54872 80864 96026 109744 161728 192052 219488 323456 384104 438976 768208 877952 1536416 3072832 6145664