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2389240 = 235722353
BaseRepresentation
bin1001000111010011111000
311111101102101
421013103320
51102423430
6123113144
726210500
oct11072370
94441371
102389240
111392087
129727b4
13658669
14462a00
15322dca
hex2474f8

2389240 has 96 divisors (see below), whose sum is σ = 6648480. Its totient is φ = 768768.

The previous prime is 2389213. The next prime is 2389241. The reversal of 2389240 is 429832.

2389240 is digitally balanced in base 2 and base 5, because in such bases 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 2389199 and 2389208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389241) 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 23 ways as a sum of consecutive naturals, for example, 45054 + ... + 45106.

It is an arithmetic number, because the mean of its divisors is an integer number (69255).

22389240 is an apocalyptic number.

2389240 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 2389240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324240).

2389240 is an abundant number, since it is smaller than the sum of its proper divisors (4259240).

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

2389240 is a wasteful number, since it uses less digits than its factorization.

2389240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2389240 is about 1545.7166622638. The cubic root of 2389240 is about 133.6862041813.

It can be divided in two parts, 23892 and 40, that added together give a palindrome (23932).

The spelling of 2389240 in words is "two million, three hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 53 56 70 92 98 106 115 140 161 184 196 212 230 245 265 280 322 371 392 424 460 490 530 644 742 805 920 980 1060 1127 1219 1288 1484 1610 1855 1960 2120 2254 2438 2597 2968 3220 3710 4508 4876 5194 5635 6095 6440 7420 8533 9016 9752 10388 11270 12190 12985 14840 17066 20776 22540 24380 25970 34132 42665 45080 48760 51940 59731 68264 85330 103880 119462 170660 238924 298655 341320 477848 597310 1194620 2389240