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1357680 = 24355657
BaseRepresentation
bin101001011011101110000
32112222101110
411023131300
5321421210
645033320
714353152
oct5133560
92488343
101357680
11848055
12555840
13386c7c
14274ad2
151bc420
hex14b770

1357680 has 40 divisors (see below), whose sum is σ = 4209552. Its totient is φ = 361984.

The previous prime is 1357679. The next prime is 1357703. The reversal of 1357680 is 867531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2589 + ... + 3068.

21357680 is an apocalyptic number.

1357680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1357680 is an abundant number, since it is smaller than the sum of its proper divisors (2851872).

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

1357680 is a wasteful number, since it uses less digits than its factorization.

1357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1357680 is about 1165.1952626062. The cubic root of 1357680 is about 110.7301292425.

The spelling of 1357680 in words is "one million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5657 11314 16971 22628 28285 33942 45256 56570 67884 84855 90512 113140 135768 169710 226280 271536 339420 452560 678840 1357680