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1307040 = 25357389
BaseRepresentation
bin100111111000110100000
32110101220220
410333012200
5313311130
644003040
714052420
oct4770640
92411826
101307040
11812aa9
12530480
13369bc7
14260480
151ac410
hex13f1a0

1307040 has 96 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 297984.

The previous prime is 1306997. The next prime is 1307051. The reversal of 1307040 is 407031.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

21307040 is an apocalyptic number.

1307040 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 1307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1307040 is an abundant number, since it is smaller than the sum of its proper divisors (3410400).

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

1307040 is a wasteful number, since it uses less digits than its factorization.

1307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1307040 is about 1143.2585009524. The cubic root of 1307040 is about 109.3359441508.

Subtracting from 1307040 its reverse (407031), we obtain a palindrome (900009).

The spelling of 1307040 in words is "one million, three hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 389 420 480 560 672 778 840 1120 1167 1556 1680 1945 2334 2723 3112 3360 3890 4668 5446 5835 6224 7780 8169 9336 10892 11670 12448 13615 15560 16338 18672 21784 23340 27230 31120 32676 37344 40845 43568 46680 54460 62240 65352 81690 87136 93360 108920 130704 163380 186720 217840 261408 326760 435680 653520 1307040