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2276640 = 253351731
BaseRepresentation
bin1000101011110100100000
311021122222000
420223310200
51040323030
6120444000
725231302
oct10536440
94248860
102276640
111315523
12919600
13619332
14433972
152ee860
hex22bd20

2276640 has 192 divisors, whose sum is σ = 8709120. Its totient is φ = 552960.

The previous prime is 2276629. The next prime is 2276669. The reversal of 2276640 is 466722.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73425 + ... + 73455.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

22276640 is an apocalyptic number.

2276640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2276640 is an abundant number, since it is smaller than the sum of its proper divisors (6432480).

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

2276640 is a wasteful number, since it uses less digits than its factorization.

2276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2276640 is about 1508.8538696640. The cubic root of 2276640 is about 131.5522016094.

It can be divided in two parts, 2276 and 640, that added together give a square (2916 = 542).

The spelling of 2276640 in words is "two million, two hundred seventy-six thousand, six hundred forty".