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2746890 = 2325231327
BaseRepresentation
bin1010011110101000001010
312011120000200
422132220022
51200400030
6134513030
732230266
oct12365012
95146020
102746890
111606863
12b05776
137523a3
145170a6
15393d60
hex29ea0a

2746890 has 48 divisors (see below), whose sum is σ = 7458048. Its totient is φ = 700128.

The previous prime is 2746889. The next prime is 2746901. The reversal of 2746890 is 986472.

It is a d-powerful number, because it can be written as 219 + 76 + 42 + 65 + 87 + 9 + 0 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (155376).

22746890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729024).

2746890 is an abundant number, since it is smaller than the sum of its proper divisors (4711158).

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

2746890 is a wasteful number, since it uses less digits than its factorization.

2746890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2746890 is about 1657.3744296326. The cubic root of 2746890 is about 140.0491324150.

The spelling of 2746890 in words is "two million, seven hundred forty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1327 2070 2654 3981 6635 7962 11943 13270 19905 23886 30521 39810 59715 61042 91563 119430 152605 183126 274689 305210 457815 549378 915630 1373445 2746890