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1413840 = 243543137
BaseRepresentation
bin101011001001011010000
32122211102110
411121023100
5330220330
650145320
715005661
oct5311320
92584373
101413840
1188626a
12582240
133a66bc
1428b368
151cddb0
hex1592d0

1413840 has 80 divisors (see below), whose sum is σ = 4517568. Its totient is φ = 365568.

The previous prime is 1413829. The next prime is 1413851. The reversal of 1413840 is 483141.

It is an interprime number because it is at equal distance from previous prime (1413829) and next prime (1413851).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×14138403 = 8478559027533312000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10252 + ... + 10388.

21413840 is an apocalyptic number.

1413840 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 1413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258784).

1413840 is an abundant number, since it is smaller than the sum of its proper divisors (3103728).

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

1413840 is a wasteful number, since it uses less digits than its factorization.

1413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

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

The square root of 1413840 is about 1189.0500409991. The cubic root of 1413840 is about 112.2363207389.

Adding to 1413840 its reverse (483141), we get a palindrome (1896981).

The spelling of 1413840 in words is "one million, four hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 137 172 215 240 258 274 344 411 430 516 548 645 685 688 822 860 1032 1096 1290 1370 1644 1720 2055 2064 2192 2580 2740 3288 3440 4110 5160 5480 5891 6576 8220 10320 10960 11782 16440 17673 23564 29455 32880 35346 47128 58910 70692 88365 94256 117820 141384 176730 235640 282768 353460 471280 706920 1413840