Search a number
-
+
2363040 = 25335547
BaseRepresentation
bin1001000000111010100000
311110001111000
421000322200
51101104130
6122352000
726041221
oct11007240
94401430
102363040
111374429
1295b600
13649764
14457248
1531a260
hex240ea0

2363040 has 96 divisors (see below), whose sum is σ = 8285760. Its totient is φ = 628992.

The previous prime is 2363033. The next prime is 2363041. The reversal of 2363040 is 403632.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2363041) 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, 4047 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (86310).

22363040 is an apocalyptic number.

2363040 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 2363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142880).

2363040 is an abundant number, since it is smaller than the sum of its proper divisors (5922720).

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

2363040 is a wasteful number, since it uses less digits than its factorization.

2363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2363040 is about 1537.2182668704. The cubic root of 2363040 is about 133.1957469627.

Adding to 2363040 its reverse (403632), we get a palindrome (2766672).

The spelling of 2363040 in words is "two million, three hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 547 720 864 1080 1094 1440 1641 2160 2188 2735 3282 4320 4376 4923 5470 6564 8205 8752 9846 10940 13128 14769 16410 17504 19692 21880 24615 26256 29538 32820 39384 43760 49230 52512 59076 65640 73845 78768 87520 98460 118152 131280 147690 157536 196920 236304 262560 295380 393840 472608 590760 787680 1181520 2363040