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2790672 = 243471237
BaseRepresentation
bin1010101001010100010000
312020210002020
422221110100
51203300142
6135451440
732502033
oct12512420
95223066
102790672
111636745
12b26b80
137692b1
1452901a
153a1cec
hex2a9510

2790672 has 40 divisors (see below), whose sum is σ = 7368576. Its totient is φ = 909696.

The previous prime is 2790653. The next prime is 2790673. The reversal of 2790672 is 2760972.

It is a super-3 number, since 3×27906723 = 65200006576984633344, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2790673) 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, 1638 + ... + 2874.

22790672 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 2790672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684288).

2790672 is an abundant number, since it is smaller than the sum of its proper divisors (4577904).

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

2790672 is a wasteful number, since it uses less digits than its factorization.

2790672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 2790672 is about 1670.5304546760. The cubic root of 2790672 is about 140.7892833613.

The spelling of 2790672 in words is "two million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1237 2256 2474 3711 4948 7422 9896 14844 19792 29688 58139 59376 116278 174417 232556 348834 465112 697668 930224 1395336 2790672