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1384140 = 2235172359
BaseRepresentation
bin101010001111011001100
32121022200110
411101323030
5323243030
645400020
714523252
oct5217314
92538613
101384140
11865a1a
12569010
13396024
142805d2
151c51b0
hex151ecc

1384140 has 96 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 326656.

The previous prime is 1384139. The next prime is 1384171. The reversal of 1384140 is 414831.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23431 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

21384140 is an apocalyptic number.

1384140 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 1384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

1384140 is an abundant number, since it is smaller than the sum of its proper divisors (2970420).

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

1384140 is a wasteful number, since it uses less digits than its factorization.

1384140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1384140 is about 1176.4947938686. The cubic root of 1384140 is about 111.4448506318. Note that the first 3 decimals are identical.

Adding to 1384140 its reverse (414831), we get a palindrome (1798971).

It can be divided in two parts, 138 and 4140, that added together give a triangular number (4278 = T92).

The spelling of 1384140 in words is "one million, three hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 59 60 68 69 85 92 102 115 118 138 170 177 204 230 236 255 276 295 340 345 354 391 460 510 590 690 708 782 885 1003 1020 1173 1180 1357 1380 1564 1770 1955 2006 2346 2714 3009 3540 3910 4012 4071 4692 5015 5428 5865 6018 6785 7820 8142 10030 11730 12036 13570 15045 16284 20060 20355 23069 23460 27140 30090 40710 46138 60180 69207 81420 92276 115345 138414 230690 276828 346035 461380 692070 1384140