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7013440 = 265731101
BaseRepresentation
bin11010110000010001000000
3111012022122001
4122300101000
53243412230
6410153344
7113420230
oct32602100
914168561
107013440
113a60335
122422854
1315b7385
14d07cc0
159380ca
hex6b0440

7013440 has 112 divisors (see below), whose sum is σ = 19897344. Its totient is φ = 2304000.

The previous prime is 7013431. The next prime is 7013443. The reversal of 7013440 is 443107.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7013443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69390 + ... + 69490.

Almost surely, 27013440 is an apocalyptic number.

7013440 is a gapful number since it is divisible by the number (70) 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 7013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948672).

7013440 is an abundant number, since it is smaller than the sum of its proper divisors (12883904).

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

7013440 is a wasteful number, since it uses less digits than its factorization.

7013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 7013440 is about 2648.2900143300. The cubic root of 7013440 is about 191.4154676027.

Adding to 7013440 its reverse (443107), we get a palindrome (7456547).

The spelling of 7013440 in words is "seven million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 101 112 124 140 155 160 202 217 224 248 280 310 320 404 434 448 496 505 560 620 707 808 868 992 1010 1085 1120 1240 1414 1616 1736 1984 2020 2170 2240 2480 2828 3131 3232 3472 3535 4040 4340 4960 5656 6262 6464 6944 7070 8080 8680 9920 11312 12524 13888 14140 15655 16160 17360 21917 22624 25048 28280 31310 32320 34720 43834 45248 50096 56560 62620 69440 87668 100192 109585 113120 125240 175336 200384 219170 226240 250480 350672 438340 500960 701344 876680 1001920 1402688 1753360 3506720 7013440