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2661672 = 2331319449
BaseRepresentation
bin1010001001110100101000
312000020010110
422021310220
51140133142
6133014320
731423656
oct12116450
95006113
102661672
111558832
12a843a0
13722670
144d3dd6
1537899c
hex289d28

2661672 has 64 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 774144.

The previous prime is 2661661. The next prime is 2661689. The reversal of 2661672 is 2761662.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5704 + ... + 6152.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

22661672 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 2661672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

2661672 is an abundant number, since it is smaller than the sum of its proper divisors (4898328).

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

2661672 is a wasteful number, since it uses less digits than its factorization.

2661672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2661672 is about 1631.4631469941. The cubic root of 2661672 is about 138.5856230493.

It can be divided in two parts, 2661 and 672, that added together give a palindrome (3333).

The spelling of 2661672 in words is "two million, six hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 449 456 494 741 898 988 1347 1482 1796 1976 2694 2964 3592 5388 5837 5928 8531 10776 11674 17062 17511 23348 25593 34124 35022 46696 51186 68248 70044 102372 110903 140088 204744 221806 332709 443612 665418 887224 1330836 2661672