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1315680 = 25352741
BaseRepresentation
bin101000001001101100000
32110211202220
411001031200
5314100210
644111040
714116542
oct5011540
92424686
101315680
11819543
12535480
13370b12
14263692
151aec70
hex141360

1315680 has 48 divisors (see below), whose sum is σ = 4145904. Its totient is φ = 350720.

The previous prime is 1315673. The next prime is 1315697. The reversal of 1315680 is 865131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1315680.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 891 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (86373).

21315680 is an apocalyptic number.

1315680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315680 is an abundant number, since it is smaller than the sum of its proper divisors (2830224).

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

1315680 is a wasteful number, since it uses less digits than its factorization.

1315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1315680 is about 1147.0309498876. The cubic root of 1315680 is about 109.5763317567.

The spelling of 1315680 in words is "one million, three hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2741 5482 8223 10964 13705 16446 21928 27410 32892 41115 43856 54820 65784 82230 87712 109640 131568 164460 219280 263136 328920 438560 657840 1315680