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1414140 = 2235721337
BaseRepresentation
bin101011001001111111100
32122211211120
411121033330
5330223030
650150540
715006600
oct5311774
92584746
101414140
11886512
12582450
133a6890
1428b500
151ce010
hex1593fc

1414140 has 144 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 290304.

The previous prime is 1414129. The next prime is 1414181. The reversal of 1414140 is 414141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38202 + ... + 38238.

It is an arithmetic number, because the mean of its divisors is an integer number (35378).

21414140 is an apocalyptic number.

1414140 is a gapful number since it is divisible by the number (10) 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 1414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547216).

1414140 is an abundant number, since it is smaller than the sum of its proper divisors (3680292).

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

1414140 is a wasteful number, since it uses less digits than its factorization.

1414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1414140 is about 1189.1761854326. The cubic root of 1414140 is about 112.2442585807.

Adding to 1414140 its reverse (414141), we get a palindrome (1828281).

Subtracting from 1414140 its reverse (414141), we obtain a palindrome (999999).

It can be divided in two parts, 141 and 4140, that multiplied together give a triangular number (583740 = T1080).

The spelling of 1414140 in words is "one million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 37 39 42 49 52 60 65 70 74 78 84 91 98 105 111 130 140 147 148 156 182 185 195 196 210 222 245 259 260 273 294 364 370 390 420 444 455 481 490 518 546 555 588 637 735 740 777 780 910 962 980 1036 1092 1110 1274 1295 1365 1443 1470 1554 1813 1820 1911 1924 2220 2405 2548 2590 2730 2886 2940 3108 3185 3367 3626 3822 3885 4810 5180 5439 5460 5772 6370 6734 7215 7252 7644 7770 9065 9555 9620 10101 10878 12740 13468 14430 15540 16835 18130 19110 20202 21756 23569 27195 28860 33670 36260 38220 40404 47138 50505 54390 67340 70707 94276 101010 108780 117845 141414 202020 235690 282828 353535 471380 707070 1414140