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2684928 = 21131923
BaseRepresentation
bin1010001111100000000000
312001102000210
422033200000
51141404203
6133314120
731551531
oct12174000
95042023
102684928
111574254
12a95940
1373011c
144dc688
15380803
hex28f800

2684928 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 811008.

The previous prime is 2684923. The next prime is 2684933. The reversal of 2684928 is 8294862.

It is an interprime number because it is at equal distance from previous prime (2684923) and next prime (2684933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 116725 + ... + 116747.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22684928 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 2684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2684928 is an abundant number, since it is smaller than the sum of its proper divisors (5177472).

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

2684928 is a wasteful number, since it uses less digits than its factorization.

2684928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2684928 is about 1638.5749906550. The cubic root of 2684928 is about 138.9880775793.

The spelling of 2684928 in words is "two million, six hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1024 1104 1216 1311 1472 1536 1748 1824 2048 2208 2432 2622 2944 3072 3496 3648 4416 4864 5244 5888 6144 6992 7296 8832 9728 10488 11776 13984 14592 17664 19456 20976 23552 27968 29184 35328 38912 41952 47104 55936 58368 70656 83904 111872 116736 141312 167808 223744 335616 447488 671232 894976 1342464 2684928