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2014380 = 2232519231
BaseRepresentation
bin111101011110010101100
310210100012200
413223302230
51003430010
6111101500
723056554
oct7536254
93710180
102014380
111156485
12811890
13556b54
143a6164
1529bcc0
hex1ebcac

2014380 has 108 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 492480.

The previous prime is 2014379. The next prime is 2014393. The reversal of 2014380 is 834102.

It is a happy number.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 64965 + ... + 64995.

22014380 is an apocalyptic number.

2014380 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 2014380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2014380 is an abundant number, since it is smaller than the sum of its proper divisors (4642452).

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

2014380 is a wasteful number, since it uses less digits than its factorization.

2014380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2014380 is about 1419.2885541707. The cubic root of 2014380 is about 126.2933452447.

Adding to 2014380 its reverse (834102), we get a palindrome (2848482).

It can be divided in two parts, 20 and 14380, that added together give a square (14400 = 1202).

The spelling of 2014380 in words is "two million, fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 361 372 380 465 558 570 589 620 684 722 855 930 1083 1116 1140 1178 1395 1444 1710 1767 1805 1860 2166 2356 2790 2945 3249 3420 3534 3610 4332 5301 5415 5580 5890 6498 7068 7220 8835 10602 10830 11191 11780 12996 16245 17670 21204 21660 22382 26505 32490 33573 35340 44764 53010 55955 64980 67146 100719 106020 111910 134292 167865 201438 223820 335730 402876 503595 671460 1007190 2014380