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1413680 = 24541431
BaseRepresentation
bin101011001001000110000
32122211012112
411121020300
5330214210
650144452
715005342
oct5311060
92584175
101413680
11886134
12582128
133a65c8
1428b292
151cdd05
hex159230

1413680 has 40 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 550400.

The previous prime is 1413679. The next prime is 1413689. The reversal of 1413680 is 863141.

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

It is a super-2 number, since 2×14136802 = 3996982284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1413689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 3495.

21413680 is an apocalyptic number.

1413680 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 1413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1413680 is an abundant number, since it is smaller than the sum of its proper divisors (1961104).

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

1413680 is a wasteful number, since it uses less digits than its factorization.

1413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1413680 is about 1188.9827584957. The cubic root of 1413680 is about 112.2320867641.

The spelling of 1413680 in words is "one million, four hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 431 656 820 862 1640 1724 2155 3280 3448 4310 6896 8620 17240 17671 34480 35342 70684 88355 141368 176710 282736 353420 706840 1413680