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2542320 = 2433511107
BaseRepresentation
bin1001101100101011110000
311210011102000
421230223300
51122323240
6130254000
730416004
oct11545360
94704360
102542320
1114870a0
12a27300
136b0241
144a2704
15353430
hex26caf0

2542320 has 160 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 610560.

The previous prime is 2542237. The next prime is 2542327. The reversal of 2542320 is 232452.

2542320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2542293 and 2542302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23707 + ... + 23813.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

22542320 is an apocalyptic number.

2542320 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 2542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

2542320 is an abundant number, since it is smaller than the sum of its proper divisors (7099920).

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

2542320 is a wasteful number, since it uses less digits than its factorization.

2542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2542320 is about 1594.4654276591. The cubic root of 2542320 is about 136.4824273961.

Adding to 2542320 its reverse (232452), we get a palindrome (2774772).

The spelling of 2542320 in words is "two million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 107 108 110 120 132 135 144 165 176 180 198 214 216 220 240 264 270 297 321 330 360 396 428 432 440 495 528 535 540 594 642 660 720 792 856 880 963 990 1070 1080 1177 1188 1284 1320 1485 1584 1605 1712 1926 1980 2140 2160 2354 2376 2568 2640 2889 2970 3210 3531 3852 3960 4280 4708 4752 4815 5136 5778 5885 5940 6420 7062 7704 7920 8560 9416 9630 10593 11556 11770 11880 12840 14124 14445 15408 17655 18832 19260 21186 23112 23540 23760 25680 28248 28890 31779 35310 38520 42372 46224 47080 52965 56496 57780 63558 70620 77040 84744 94160 105930 115560 127116 141240 158895 169488 211860 231120 254232 282480 317790 423720 508464 635580 847440 1271160 2542320