Search a number
-
+
2350040 = 2357211109
BaseRepresentation
bin1000111101101111011000
311102101122112
420331233120
51100200130
6122211452
725655300
oct10755730
94371575
102350040
111365690
12953b88
13643874
14452600
15316495
hex23dbd8

2350040 has 96 divisors (see below), whose sum is σ = 6771600. Its totient is φ = 725760.

The previous prime is 2350031. The next prime is 2350043. The reversal of 2350040 is 400532.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2349997 and 2350024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2350043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21506 + ... + 21614.

22350040 is an apocalyptic number.

2350040 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 2350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385800).

2350040 is an abundant number, since it is smaller than the sum of its proper divisors (4421560).

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

2350040 is a wasteful number, since it uses less digits than its factorization.

2350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2350040 is about 1532.9840181815. The cubic root of 2350040 is about 132.9510438471.

Adding to 2350040 its reverse (400532), we get a palindrome (2750572).

The spelling of 2350040 in words is "two million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 109 110 140 154 196 218 220 245 280 308 385 392 436 440 490 539 545 616 763 770 872 980 1078 1090 1199 1526 1540 1960 2156 2180 2398 2695 3052 3080 3815 4312 4360 4796 5341 5390 5995 6104 7630 8393 9592 10682 10780 11990 15260 16786 21364 21560 23980 26705 30520 33572 41965 42728 47960 53410 58751 67144 83930 106820 117502 167860 213640 235004 293755 335720 470008 587510 1175020 2350040