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2625680 = 245231427
BaseRepresentation
bin1010000001000010010000
311221101202102
422001002100
51133010210
6132135532
731214021
oct12010220
94841672
102625680
111533792
12a675a8
1370c175
144c4c48
1536cea5
hex281090

2625680 has 40 divisors (see below), whose sum is σ = 6374592. Its totient is φ = 1003904.

The previous prime is 2625671. The next prime is 2625691. The reversal of 2625680 is 865262.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 2553.

22625680 is an apocalyptic number.

2625680 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 2625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296).

2625680 is an abundant number, since it is smaller than the sum of its proper divisors (3748912).

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

2625680 is a wasteful number, since it uses less digits than its factorization.

2625680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2625680 is about 1620.3950135692. The cubic root of 2625680 is about 137.9581193363.

The spelling of 2625680 in words is "two million, six hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1427 1840 2854 5708 7135 11416 14270 22832 28540 32821 57080 65642 114160 131284 164105 262568 328210 525136 656420 1312840 2625680