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2920680 = 2332571961
BaseRepresentation
bin1011001001000011101000
312111101102100
423021003220
51221430210
6142333400
733553050
oct13110350
95441370
102920680
111715394
12b8a260
137b3519
14560560
153ca5c0
hex2c90e8

2920680 has 192 divisors, whose sum is σ = 11606400. Its totient is φ = 622080.

The previous prime is 2920649. The next prime is 2920691. The reversal of 2920680 is 860292.

It is a Cunningham number, because it is equal to 17092-1.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47850 + ... + 47910.

It is an arithmetic number, because the mean of its divisors is an integer number (60450).

22920680 is an apocalyptic number.

2920680 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 2920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

2920680 is an abundant number, since it is smaller than the sum of its proper divisors (8685720).

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

2920680 is a wasteful number, since it uses less digits than its factorization.

2920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2920680 is about 1708.9997074312. Note that the first 3 decimals coincide. The cubic root of 2920680 is about 142.9424842459.

It can be divided in two parts, 2920 and 680, that added together give a square (3600 = 602).

The spelling of 2920680 in words is "two million, nine hundred twenty thousand, six hundred eighty".