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2425680 = 243351123
BaseRepresentation
bin1001010000001101010000
311120020102000
421100031100
51110110210
6123554000
726421645
oct11201520
94506360
102425680
1114074a4
1298b900
1366c11a
14471dcc
1532dac0
hex250350

2425680 has 80 divisors (see below), whose sum is σ = 8362560. Its totient is φ = 646272.

The previous prime is 2425669. The next prime is 2425681. The reversal of 2425680 is 865242.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (104532).

22425680 is an apocalyptic number.

2425680 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 2425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181280).

2425680 is an abundant number, since it is smaller than the sum of its proper divisors (5936880).

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

2425680 is a wasteful number, since it uses less digits than its factorization.

2425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2425680 is about 1557.4594697776. The cubic root of 2425680 is about 134.3624257208.

It can be divided in two parts, 24256 and 80, that added together give a square (24336 = 1562).

The spelling of 2425680 in words is "two million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1123 2160 2246 3369 4492 5615 6738 8984 10107 11230 13476 16845 17968 20214 22460 26952 30321 33690 40428 44920 50535 53904 60642 67380 80856 89840 101070 121284 134760 151605 161712 202140 242568 269520 303210 404280 485136 606420 808560 1212840 2425680