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2660364 = 223571723
BaseRepresentation
bin1010001001100000001100
312000011100000
422021200030
51140112424
6133004300
731420110
oct12114014
95004300
102660364
111557853
12a83690
13721ba5
144d3740
153783c9
hex28980c

2660364 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 684288.

The previous prime is 2660353. The next prime is 2660377. The reversal of 2660364 is 4630662.

It is a super-2 number, since 2×26603642 = 14155073224992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115657 + ... + 115679.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

22660364 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 2660364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2660364 is an abundant number, since it is smaller than the sum of its proper divisors (6145524).

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

2660364 is a wasteful number, since it uses less digits than its factorization.

2660364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2660364 is about 1631.0622305725. The cubic root of 2660364 is about 138.5629180609.

The spelling of 2660364 in words is "two million, six hundred sixty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 27 28 34 36 42 46 51 54 63 68 69 81 84 92 102 108 119 126 138 153 161 162 189 204 207 238 243 252 276 306 322 324 357 378 391 414 459 476 483 486 567 612 621 644 714 756 782 828 918 966 972 1071 1134 1173 1242 1377 1428 1449 1564 1701 1836 1863 1932 2142 2268 2346 2484 2737 2754 2898 3213 3402 3519 3726 4131 4284 4347 4692 5474 5508 5589 5796 6426 6804 7038 7452 8211 8262 8694 9639 10557 10948 11178 12852 13041 14076 16422 16524 17388 19278 21114 22356 24633 26082 28917 31671 32844 38556 39123 42228 49266 52164 57834 63342 73899 78246 95013 98532 115668 126684 147798 156492 190026 221697 295596 380052 443394 665091 886788 1330182 2660364